Tau approximate solution of weakly singular Volterra integral equations with Legendre wavelet basis

被引：7

作者：

Pourgholi, Reza ^{[1
]}

Tahmasebi, Ali ^{[1
]}

Azimi, Ruhangiz ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2017年 / 94卷 / 07期

关键词：

Weakly singular volterra integral equations; tau method; legendre wavelet basis; error estimation; 45B05; 74G10; NUMERICAL-SOLUTION;

D O I：

10.1080/00207160.2016.1190010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a spectral Tau method based on Legendre Wavelet basis is proposed. For this purpose we present a stable operational Tau method based on Legendre Wavelet basis. This method provides an efficient approximate solution for weakly singular Volterra integral equations by using reduced set of matrix operations. An error estimation of the Tau method is also introduced. Finally we demonstrate the validity and applicability of the method by numerical examples.

引用

页码：1337 / 1348

页数：12

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