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Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-16 F. Aràndiga, D. Barrera, S. Eddargani, M.J. Ibáñez, J.B. Roldán
In this paper, we propose a family of non-uniform cubic quasi-interpolation schemes. The construction used here is mainly based on directly establishing the BB-coefficients by a suitable combination of the data values. These combinations generate masks for each of the BB-coefficients. These masks can contain free parameters, which allow us to write a quasi-interpolation schemes defined from a large
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High-order energy stable variable-step schemes for the time-fractional Cahn–Hilliard model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-15 Haiqing Zhang, Hong-lin Liao
Based on the Alikhanov formula of the Caputo derivative and the exponential scalar auxiliary variable approach, two different second-order stable numerical schemes are constructed for the time-fractional Cahn–Hilliard model, including the nonlinear L2-1 scheme and the linear L2-1-ESAV scheme. Applying the discrete gradient structure, we construct the asymptotically compatible energies and the associated
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A hybrid kernel-based meshless method for numerical approximation of multidimensional Fisher’s equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-10 Manzoor Hussain, Abdul Ghafoor, Arshad Hussain, Sirajul Haq, Ihteram Ali, Shams Ul Arifeen
We propose and analyze a meshless method of lines by considering some hybrid radial kernels. These hybrid kernels are constructed by linearly combining infinite smooth radial functions to piecewise smooth radial functions; which are then used for spatial approximation on trial spaces spanned by translates of positive definite radial functions. After spatial approximation, a high-order ODE solver is
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A rumor spreading multi-delay model with delay-dependent parameter Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-08 Shunjie Li, Xuebing Zhang, Qi An
This study presents a novel delayed rumor spreading model that incorporates a general contact function. We determine the reproduction number, denoted as , and discuss its threshold properties. If , the global asymptotic stability of the rumor-free equilibrium, denoted as , is ensured. Conversely, if , the system exhibits a single rumor-endemic equilibrium, denoted as , which is globally asymptotically
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Hopf bifurcation and fixed-time stability of a reaction–diffusion echinococcosis model with mixed delays Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-04 Weixin Chen, Xinzhong Xu, Qimin Zhang
In this paper, a model with spatial diffusion and mixed delays is presented to describe the spread of echinococcosis between dogs and livestock. Firstly, the local stability is investigated using the Routh–Hurwitz criterion. Furthermore, when considering time delays as bifurcation parameters, the conditions for the occurrence of Hopf bifurcation are discussed based on the linear approximation of the
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Extended splitting methods for systems of three-operator monotone inclusions with continuous operators Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-04 Yunda Dong
In this article, we propose two new splitting methods for solving systems of three-operator monotone inclusions in real Hilbert spaces, where the first operator is continuous monotone, the second is maximal monotone and the third is maximal monotone and is linearly composed. These methods primarily involve evaluating the first operator and computing resolvents with respect to the other two operators
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Four types of grey [formula omitted]-covering models and their applications Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-03 Mohamed Atef, Sifeng Liu
To handle the limitations of a fuzzy -neighbourhood, many researchers apply this notion to different structures to allow them to make a suitable decision in some real problems. In this article, we introduce the notions of grey -neighbourhood and grey complementary -neighbourhood, and then we establish the grey -covering approximation space (GCAS). The relevant characteristics are also examined. Furthermore
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New methods for quasi-interpolation approximations: Resolution of odd-degree singularities Math. Comput. Simul. (IF 4.6) Pub Date : 2024-04-03 Martin Buhmann, Janin Jäger, Joaquín Jódar, Miguel L. Rodríguez
In this paper, we study functional approximations where we choose the so-called radial basis function method and more specifically, quasi-interpolation. From the various available approaches to the latter, we form new quasi-Lagrange functions when the orders of the singularities of the radial function’s Fourier transforms at zero do not match the parity of the dimension of the space, and therefore
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Chemo and immunotherapy effects on stability regions of tumor models Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-30 Surour Alaraifi, Kaouther Moussa, Seddik Djouadi
This paper deals with the problem of estimating the regions of attraction (or Safe regions) of two well-known nonlinear tumor growth models by redefining each model as a set of independent artificial systems and utilizing the novel concept of individual invariance. The first model describes leukemia growth in the presence of chemotherapy where the stable tumor-free equilibrium point vanishes once the
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Consistent asset modelling with random coefficients and switches between regimes Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-28 Felix L. Wolf, Griselda Deelstra, Lech A. Grzelak
We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for different behaviours across various times or regimes. To establish our framework, we initially construct a model with random parameters, where the switching between
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Numerical adiabatic perturbation theory for the absolute [formula omitted] equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-28 Rubén Garralon-López, Francisco Rus, Francisco R. Villatoro
In physical applications, the absolute equation should be preferred to the widely used Rosenau–Hyman equation due to the robustness of its compactons and anticompactons interactions observed in numerical simulations with small hyperviscosity. In order to understand the effect of the hyperviscosity in solutions with multiple compactons of the equation, the adiabatic perturbation theory has been applied
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A spectral collocation scheme for the two dimensional flow of a regularized viscoplastic fluid: Numerical results and comparison with analytical solution Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-27 Lorenzo Fusi, Antonio Giovinetto
In this paper we present a numerical scheme based on spectral collocation method (SCM) for the two dimensional incompressible creeping flow of a non-Newtonian fluid in a symmetric channel of variable width. Afters a suitable scaling of the governing equations and of the boundary conditions, we discretize the problem getting a nonlinear system that is solved via Newton–Raphson method. We focus on two
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Discrete kinetic analysis of a general reaction–diffusion model constructed by Euler discretization and coupled map lattices Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-27 Xuetian Zhang, Chunrui Zhang, Yazhuo Zhang
In this paper, we provide a framework for the Turing instability in a general two-dimensional discrete reaction–diffusion model that utilizes Euler discretization and coupled map lattices. We obtained explicit criterions for the normal forms of Neimark–Sacker bifurcation and flip bifurcation in the absence of diffusion. We derive the general conditions that govern the emergence of pure Turing instability
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Complexity of a two-stage R&D game within a cluster supply chain considering vertical R&D spillovers, effective information, and government subsidies Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-26 Jianjun Long, Fenglian Wang
In the research on spillover effects in supply chain game models, most studies are based on complete rationality or consider horizontal spillovers between enterprises, while neglecting vertical spillovers between upstream and downstream enterprises in the supply chain R&D game with bounded rationality. This paper creatively proposes a two-stage cluster supply chain game model that includes vertical
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Newsvendor model for a dyadic supply chain with push-pull strategy under shareholding and risk aversion Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-22 Jianxin Chen, Rui Hou, Tonghua Zhang, Yongwu Zhou
This paper investigates the optimization and coordination problem in the framework of classic push and pull newsvendor models under shareholding and CVaR criterion. A decentralized supply chain consisting of upstream supplier and the downstream manufacturer is considered. Firstly, taking the risk aversion into account, the optimal decision-makings are investigated under shareholding in push, pull supply
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Spatiotemporal patterns in a diffusive resource–consumer model with distributed memory and maturation delay Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-22 Hao Shen, Yongli Song
In this paper, we propose a diffusive consumer–resource model in which the consumer is involved with spatiotemporal memory and the resource has maturation delay. Firstly, for the case without maturation delay, the influence of the spatiotemporal distributed memory on the stability of the positive steady state is investigated. It has been shown that memory delay can induce Turing bifurcation for the
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On fluorophore imaging by nonlinear diffusion model with dynamical iterative scheme Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-21 Qiang Zhang, Jijun Liu
Fluorescence imaging aims at recovering the absorption coefficient of fluorophore in biological tissues. Due to the nonlinear dependence of excitation and emission fields on the unknown coefficient, such an inverse problem with the boundary measurement as inversion input is nonlinear. We reformulate this inverse problem as an optimization problem for a non-convex cost functional consisting of the unknown
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Replicating transition with modified Spalart–Allmaras model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-21 M.M. Rahman, Hongqian Zhu, K. Hasan, Sheng Chen
An algebraic transition model has been developed to preserve the “flow-structure-adaptive” characteristics in “Reynolds-Averaged Navier–Stokes” (RANS) computations for multiple transition mechanisms. The formulation is convenient and plausible in a sense that it relies on the local flow information to trigger transition employing an algebraic intermittency parameter rather than a -transport equation
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A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-20 Yusha Mei, Mingrong Cui, Fanhai Zeng
In this paper, a temporal second order two-grid difference scheme is proposed for the two-dimensional nonlinear time-fractional partial integro-differential equations with a weakly singular kernel. The first-order backward difference and formula are used in the temporal direction to estimate the first level of time, the formula and -type formula are used in the temporal direction for later time steps
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A Hermite-type collocation mesh-free approach for simulating incompressible viscous fluid flows Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-18 Mohammed Rammane, Oussama Elmhaia, Said Mesmoudi, Omar Askour, Abdeljalil Tri, Bouazza Braikat, Noureddine Damil
In this work, a novel Hermite-type mesh-free model for incompressible viscous fluid flows is proposed, as a way, to overcome the numerical difficulties experienced by solving under weak or strong formulation the pure stream-function Navier–Stokes equation. In this model a dimensionless virtual domain is utilized, in order to make an accurate dimensionless shape-functions of the recently developed Hermite-type
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Higher-order hybrid rogue wave and breather interaction dynamics for the AB system in two-layer fluids Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-17 Yu-Lan Ma, Bang-Qing Li
Rogue waves and breathers emerge as significant solitons, result from ubiquitous nonlinear effects of dynamics in the natural world, science and engineering. In this paper, we study the AB system, a model derived from a two-layer fluid that is widely used to investigate nonlinear fluid dynamics. We use the Darboux transformation to construct analytical solutions for higher-order hybrid rogue waves
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Comoving mesh method for multi-dimensional moving boundary problems: Mean-curvature flow and Stefan problems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-16 Yosuke Sunayama, Julius Fergy Tiongson Rabago, Masato Kimura
The “comoving mesh method” or CMM is a Lagrangian-type numerical scheme recently developed for numerically solving classes of moving boundary problems. The scheme is well-suited for solving, for example, the Hele-Shaw flow problem, the curve-shortening problem, and the well-known Bernoulli free boundary problem. This finite element method exploits the idea that the normal velocity field of a moving
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Numerical methods of fourth, sixth and eighth orders convergence for solving third order nonlinear ODEs Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-16 Quang A. Dang, Quang Long Dang, T. Kim Quy Ngo
In this paper, we design numerical methods of fourth, sixth and eighth orders convergence for solving BVPs of fully third order nonlinear differential equations. The methods are based on the use of high order quadrature formulas for computing integrals containing Green function and its derivatives at each iteration of the iterative method on continuous level for finding the solutions of the BVPs. We
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Modeling and dynamics of measles via fractional differential operator of singular and non-singular kernels Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-16 Muhammad Farman, Changjin Xu, Aamir Shehzad, Ali Akgul
Young children frequently die from measles, which is a major global health concern. Despite being more prevalent in infants, pregnant women, and people with compromised immune systems, it can infect anyone. Novel fractional operators, the constant-proportional Caputo operator, and the constant-proportional Atangana–Baleanu operator are used to create a hybrid fractional order model that helps analyze
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Complex dynamics in a two species system with Crowley–Martin response function: Role of cooperation, additional food and seasonal perturbations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-16 Bapin Mondal, Ashraf Adnan Thirthar, Nazmul Sk, Manar A. Alqudah, Thabet Abdeljawad
This research article investigates the interaction between prey and a generalist predator, considering the effect of hunting cooperation. The predator–prey interaction is modeled using a predator dependent functional response, specifically the Crowley–Martin type. System’s dynamics are explored using both analytical and numerical techniques. Feasible equilibria are analyzed, and their local stability
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Dynamical analysis of healthcare policy effects in an integrated economic-epidemiological model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-14 Fausto Cavalli, Ahmad Naimzada, Daniela Visetti
We study the static and dynamical properties of a model that describes the interaction between the economic and epidemiological domains. The epidemiological sphere is represented by a susceptible–infected–susceptible model, while the economic domain consists of an overlapping generations model in which the workers correspond to the non-infected population of adults. The productivity of the firms and
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Cubic spline quasi-interpolation operator to numerically solve integro-differential equations with weakly singular kernels Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-13 C. Allouch, D. Barrera, A. Saou, M. Tahrichi
In this paper we use cubic spline quasi-interpolant operator to numerically address a class of linear integro-differential equations with weakly singular kernel. As stated in Pedas and Tamme (2006), the exact solution of this equation lacks the desired level of smoothness and belongs to a particular function space. Then, in the first part of this paper, we analyze the approximation properties of the
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The mechanism of enterprise credit guarantee risk contagion considering ESG Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-13 Jingyi Zhang, Xuejuan Liu
We establish an equation to reflect the relationship between ESG and the infection probability of enterprise system, and then we construct an interaction model between ESG and enterprise credit guarantee risk contagion. Additionally, based on the actual data, the simulation and the sensitivity analysis of important parameters are performed. The study found that ESG can effectively control the enterprise
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Harmonic resonance and bifurcation of fractional Rayleigh oscillator with distributed time delay Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-13 Yufeng Zhang, Jing Li, Shaotao Zhu, Zerui Ma
Resonance and bifurcation are prominent and significant features observed in various nonlinear systems, often leading to catastrophic failure in practical engineering. This paper investigates, under an analytical and numerical perspective, the dynamical characteristics of a fractional Rayleigh oscillator with distributed time delay. Firstly, through the application of the multiple scales method, we
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Role of ART and PrEP treatments in a stochastic HIV/AIDS epidemic model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-12 Yantao Luo, Jianhua Huang, Zhidong Teng, Qun Liu
In this paper, a stochastic HIV/AIDS epidemic model is presented to study the synthetic effect of ART (antiretroviral therapy) and PrEP (pre-exposure prophylaxis) treatments among MSM ( men who have sex with men). Firstly, we give the global stability of disease-free equilibrium and the endemic equilibrium in terms of basic reproduction number for deterministic model. And then the existence of global
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Optimal control for both forward and backward discrete-time systems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-12 Xin Chen, Yue Yuan, Dongmei Yuan, Xiao Ge
Forward discrete-time systems use past information to update the current state, while backward discrete-time systems use future information to update the current state. This study focuses on optimal control problems within the context of forward and backward discrete-time systems. We begin by investigating a general optimal control problem for both forward and backward discrete-time systems. Leveraging
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A numerical investigation on coupling of conforming and hybridizable interior penalty discontinuous Galerkin methods for fractured groundwater flow problems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-11 Grégory Etangsale, Marwan Fahs, Vincent Fontaine, Hussein Hoteit
The present paper focuses on the numerical modeling of groundwater flows in fractured porous media using the codimensional model description. Therefore, fractures are defined explicitly as a -dimensional geometric object immersed in a -dimensional region and can act arbitrarily as a drain or a barrier. We numerically investigate a novel numerical strategy combining distinctive classes of conforming
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Improved well-balanced AWENO schemes with hydrostatic reconstruction for the Euler equations under gravitational fields Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Qingcheng Fu, Zhen Gao, Yaguang Gu, Peng Li, Bao-Shan Wang
The Euler equations under gravitational fields allow the hydrostatic equilibrium states, which requires that the numerical scheme of the system should also have this characteristic. In our previous work, a well-balanced finite difference conservative AWENO scheme has been constructed to preserve the isothermal equilibrium state accurately (Fu et al., Appl. Numer. Math., 180:1-15, 2022). However, the
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Linearising anhysteretic magnetisation curves: A novel algorithm for finding simulation parameters and magnetic moments Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Daniele Carosi, Fabiana Zama, Alessandro Morri, Lorella Ceschini
This paper proposes a new method for determining the simulation parameters of the Jiles–Atherton Model used to simulate the first magnetisation curve and hysteresis loop in ferromagnetic materials. The Jiles–Atherton Model is an important tool in engineering applications due to its relatively simple differential formulation. However, determining the simulation parameters for the anhysteretic curve
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Improved stability and stabilization criteria for multi-rate sampled-data control systems via novel delay-dependent states Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Khanh Hieu Nguyen, Sung Hyun Kim
This paper aims to obtain less conservative stability and stabilization conditions for sampled-data linear systems with multiple sampling rates. To this end, three novel delay-dependent states resulting from sampling are introduced in the augmented state, enabling the exploitation of the sawtooth-type characteristics of the sampling-induced delay in both stability and stabilization processes. Additionally
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An error predict-correction formula of the load vector in the BSLM for solving three-dimensional Burgers’ equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Sangbeom Park, Yonghyeon Jeon, Philsu Kim, Soyoon Bak
This paper aims to develop an algorithm reducing the computational cost of the backward semi-Lagrangian method for solving nonlinear convection–diffusion equations. For this goal, we introduce an error predict-correction formula (EPCF) of the load term for the Helmholtz system. The EPCF is built up to involve the same values as solving the perturbed Cauchy problem, which allows the reuse of the values
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Event-triggered control for switched systems with sensor faults via adaptive fuzzy observer Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-05 Ziyu Zhang, Xinsong Yang, Hak-Keung Lam, Zhengrong Xiang
This article lays emphasis on a mode-dependent event-triggered controller (MDETC) scheme for a kind of nonlinear switched systems with delay and sensor faults, where the state of the system, sensor faults, and nonlinear term are all unknown. By utilizing a fuzzy logic method and constructing adaptive laws, an adaptive fuzzy observer is designed to simultaneously estimate the states and sensor faults
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New discretization of [formula omitted]-Caputo fractional derivative and applications Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-04 M. Aurora P. Pulido, J. Vanterler C. Sousa, E. Capelas de Oliveira
In the present paper, two approximations to evaluate the -Caputo fractional derivative are developed using the linear and the quadratic polynomial interpolations. We present a study of the pointwise error for each approximation and illustrate some particular cases that correspond to approximations of the well known fractional derivatives, such as: Caputo, Katugampola and Hadamard fractional derivatives
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Shape optimization for the Stokes system with threshold leak boundary conditions Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-04 Jaroslav Haslinger, Raino A.E. Mäkinen
This paper discusses the process of optimizing the shape of systems that are controlled by the Stokes flow with threshold leak boundary conditions. In the theoretical part it focuses on studying the stability of solutions to the state problem in relation to a specific set of domains. In order to facilitate computation, the slip term and impermeability condition are regulated. In the computational part
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Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-02 G. Manohara, S. Kumbinarasaiah
In the present article, we have considered two essential models (The epidemic model of measles and the smoking model). Across the globe, the primary cause of health problems is smoking. Measles can be controlled in infectious populations using the mathematical model representing the direct transmission of infectious diseases. The Caputo fractional derivative operator of order [0,1] is used to determine
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Voltage-balancing of two controllers for a DC-DC converter-based DC microgrid with experimental verification Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-29 Mohammad Afkar, Roghayeh Gavagsaz-Ghoachani, Matheepot Phattanasak, Serge Pierfederici
Imbalances are one of the major challenges encountered during DC microgrid operation. This study presents a DC-voltage-balancing strategy that uses a high-performance controller. Indirect-sliding-mode (ISM) control is used in the current control loop and voltage loop to achieve fast dynamics, and a conventional proportional-integral (PI) controller with optimized parameters is designed. The performances
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Event-triggered adaptive secure tracking control for nonlinear cyber–physical systems against unknown deception attacks Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-28 Yongjie Tian, Huiyan Zhang, Yongchao Liu, Ning Zhao, Kalidass Mathiyalagan
This article presents an event-triggered adaptive neural networks secure tracking control method for a class of nonlinear cyber–physical systems under unknown sensor and actuator deception attacks. To obtain the desired system performance, dynamic surface technique is applied to design controller and radial basis function neural networks are introduced to deal with unknown nonlinear and actuator attacks
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A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-24 M.-C. Casabán, R. Company, V.N. Egorova, L. Jódar
A free boundary diffusive logistic model finds application in many different fields from biological invasion to wildfire propagation. However, many of these processes show a random nature and contain uncertainties in the parameters. In this paper we extend the diffusive logistic model with unknown moving front to the random scenario by assuming that the involved parameters have a finite degree of randomness
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Multiscale malaria models and their uniform in-time asymptotic analysis Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 J. Banasiak, S.Y. Tchoumi
In this paper, we show that an extension of the classical Tikhonov–Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector populations, yields a simplified model approximating the original one in a consistent, and uniform for large times, way. Furthermore, we construct a higher-order approximation based on
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A partial-integrable numerical simulation scheme of the derivative nonlinear Schrödinger equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 Tingxiao He, Yun Wang, Yingnan Zhang
In this paper, we present a novel approach for discretizing the derivative Nonlinear Schrödinger (DNLS) equation in an integrable manner. Our proposed method involves discretizing the time variable, resulting in a discrete system that converges to the DNLS equation in a natural limit. Furthermore, the discrete system retains the same set of infinitely conserved quantities as the original DNLS equation
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A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 Gianmarco Manzini, Annamaria Mazzia
We investigate an adaptive mesh strategy for the conforming virtual element method (VEM) of the Stokes equations proposed in Manzini and Mazzia (2022). The VEM generalizes the finite element approach to polygonal and polyehedral meshes in the framework of Galerkin approximation. The scheme of Manzini and Mazzia (2022) is inf-sup stable, converges optimally in the and energy norm for all polynomial
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3D numerical simulation of an anisotropic bead type thermistor and multiplicity of solutions Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-22 Manar Lahrache, Francisco Ortegón Gallego, Mohamed Rhoudaf
We perform some 3D numerical experiments for the approximation of the solutions to a bead type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix whose th entry is of the form , being the temperature inside the thermistor and the exponents , , lie in the interval . We first show some existence results for different notions of solutions, prove a maximum principle for
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Influence of the order between discretization and regularization in solving ill-posed problems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-22 Laurence Grammont, Paulo B. Vasconcelos
Discretization and regularization are required steps to provide a stable approximation when solving integral equations of the first kind. The integral operator involved may be approximated by a sequence of finite rank operators and then the regularization procedure is applied. On the other hand, a regularization procedure can be conceived prior to the discretization. Both approaches are developed,
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A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-20 Abhilipsa Panda, Jugal Mohapatra, Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev
This study deals with two numerical schemes for solving a class of singularly perturbed nonlinear Fredholm integro-differential equations. The nonlinear terms are linearized using the quasi-linearization technique. On the layer adapted Shishkin mesh, the numerical solution is initially calculated using the finite difference scheme for the differential part and quadrature rule for the integral part
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Mathematical analysis for an age-space structured HIV model with latency Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-20 Lidong Zhang, Jinliang Wang, Ran Zhang
This paper aims to study an HIV model with age structure and latently in a spatially homogeneous environment. By applying the fixed point theorem, we obtain the existence of the global solution and the global attractor for the model. We also identify the explicit formula of the basic reproduction number by the mean of the Laplace transformation, and confirm that this number predicts whether the infection
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Generalized finite integration method for 2D elastostatic and elastodynamic analysis Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-19 C.Z. Shi, H. Zheng, Y.C. Hon, P.H. Wen
In this paper, the elastostatic and elastodynamic problems are analyzed by using the meshless generalized finite integration method (GFIM). The idea of the GFIM is to construct the integration matrix and the arbitrary functions by piecewise polynomial with Kronecker product, which leads to a significant improvement in accuracy and convenience. However, the traditional direct integration in the GFIM
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Improving teaching-learning-based optimization algorithm with golden-sine and multi-population for global optimization Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-17 Aosheng Xing, Yong Chen, Jinyi Suo, Jie Zhang
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Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-17 Xiulan Zhang, Jiangteng Shi, Heng Liu, Fangqi Chen
In this paper, the cooperative control of fractional-order multi-agent systems with time delay and unknown control direction is studied by combining frequency distributed model and event-triggered mechanism. The Nussbaum function is employed to address the unmeasured control direction. Then, through the event-triggered mechanism, a corresponding controller is designed, which can guarantee that all
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A multi-domain spectral collocation method for the Fokker–Planck equation in an infinite channel Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Jia Tan, Tian-jun Wang
In this paper, we propose a multi-domain spectral collocation method for partial differential equations on two-dimensional unbounded domains. Some approximation results on the composite generalized Laguerre-Legendre interpolation and quasi-orthogonal projecting are established, respectively. These results play a significant role in related spectral collocation method. As an application, a multi-domain
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A double auxiliary optimization constrained multi-objective evolutionary algorithm Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Yongkuan Yang, Bing Yan, Xiangsong Kong, Jing Zhao
In evolutionary constrained multi-objective optimization, the use of auxiliary optimization is gradually attracting attention. It is noted that different forms of auxiliary optimization have different advantages. Combining these advantages in an appropriate manner can further improve the algorithm’s performance. Motivated by this inspiration, we propose a double auxiliary optimization constrained multi-objective
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Existence results for a class of four point nonlinear singular BVP arising in thermal explosion in a spherical vessel Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Nazia Urus, Amit Kumar Verma
In this article, the following class of four-point singular non-linear boundary value problem (NLBVP) is considered which arises in thermal explosion in a spherical vessel where , is continuous on as well as satisfy Lipschitz condition with respect to and (one sided), , are constants, and . We provide an estimation of the region of existence of a solution of above singular NLBVP. We extend the theory
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The effect of curative and preventive optimal control measures on a fractional order plant disease model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-15 Hegagi Mohamed Ali, Ismail Gad Ameen, Yasmeen Ahmed Gaber
In this paper, we present a novel mathematical model of fractional order for epidemic dynamics in plants, this fractional order model (FOM) in the sense of Caputo derivatives governing fractional differential equations (FDEs), introducing modified parameters to coincide both sides dimensions for FOM that means enhancing its accuracy in representing the real-life scenarios to control the spread of the