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Abstract <p> A linear integral equation of the third kind with fixed singularities in the kernel is studied.For its approximate solution in the space of generalized functions, a special generalized splinemethod is proposed and substantiated. Optimality of the method in the order of accuracy isproved.</p>

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Numerical Solution of Integral Equations of the Third Kind with Fixed Singularities of the Kernel

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • N. S. Gabbasov,
  • Z. Kh. Galimova

摘要

Abstract

A linear integral equation of the third kind with fixed singularities in the kernel is studied.For its approximate solution in the space of generalized functions, a special generalized splinemethod is proposed and substantiated. Optimality of the method in the order of accuracy isproved.