A linear approximation for solutions of Abel-Volterra integral equations

被引：1

作者：

Nadir, Mostefa ^{[1
]}

机构：

[1] Univ Msila, Dept Math, Msila 28000, Algeria

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 02期

关键词：

Abel-Volterra integral equations; Modified linear approximation; Weakly singular integral;

D O I：

10.1007/s40863-020-00168-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we present a modified linear approximation for solving the first and the second kind Abel-Volterra integral equations. This approximation was used by the author to approximate a weakly singular integral on the curve. Noting that this new technique gives a good approximation of these solutions compared with several methods in several numerical examples.

引用

页码：596 / 604

页数：9

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