Abstract
A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, special generalized versions of spline methods are proposed and justified. The optimality in the order of accuracy of the methods constructed is established.
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Translated by E. Chernokozhin
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Gabbasov, N.S. Order-Optimal Spline Methods for Solving Singular Integro-Differential Equations. Comput. Math. and Math. Phys. 64, 11–21 (2024). https://doi.org/10.1134/S0965542524010081
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DOI: https://doi.org/10.1134/S0965542524010081