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Abstract <p>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 the methods of moments and subdomains are proposed and substantiated. Optimality in the order of accuracy of the methods constructed is established.</p>

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Order-Optimal Numerical Methods for Solving Singular Integro-Differential Equations

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • N. S. Gabbasov

摘要

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 the methods of moments and subdomains are proposed and substantiated. Optimality in the order of accuracy of the methods constructed is established.