A numerical method to solve a class of linear integro-differential equations with weakly singular kernel

被引：11

作者：

Yuzbasi, Suayip ^{[1
]}

Sezer, Mehmet ^{[1
]}

机构：

[1] Mugla Univ, Fac Sci, Dept Math, Mugla, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 06期

关键词：

singular Volterra integro-differential equations; integro-differential equations; Abel's integral equations; collocation method; collocation points; Bessel polynomials and series; POLYNOMIAL SOLUTIONS; INTEGRAL-EQUATIONS; TAU-METHOD; FREDHOLM; INVERSION;

D O I：

10.1002/mma.1559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a collocation method based on the Bessel polynomials is introduced for the approximate solution of a class of linear integro-differential equations with weakly singular kernel under the mixed conditions. The exact solution can be obtained if the exact solution is polynomial. In other cases, increasing number of nodes, a good approximation can be obtained with applicable errors. In addition, the method is presented with error and stability analysis. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：621 / 632

页数：12

共 31 条

[1] Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations [J].