A matrix formulation of the Tau Method for Fredholm and Volterra linear integro-differential equations

被引：0

作者：

Hosseini Ali Abadi, M. ^{[1
]}

Shahmorad, S. ^{[1
]}

机构：

[1] Department of Mathematics, Tarbiat Modarres University, P.O. Box 14115 - 175, Tehran, Iran

来源：

Journal of Applied Mathematics and Computing | 2002年 / 9卷 / 02期

关键词：

Numerical methods - Integrodifferential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of order ν. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical results and details of the algorithm confirm the high accuracy and user-friendly structure of this numerical approach. © 2002 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：497 / 507

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