Solving Volterra integro-differential equations by variable stepsize block BS methods: Properties and implementation techniques

被引：2

作者：

Mazzia, F. ^{[1
]}

Nagy, A. M. ^{[2
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Benha Univ, Dept Math, Banha 13518, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 239卷

关键词：

Block BS methods; Boundary Value Methods; Volterra integro-differential equations; Convergence and stability; Variable stepsize; BOUNDARY-VALUE METHODS; ORDINARY DIFFERENTIAL-EQUATIONS; LINEAR MULTISTEP METHODS; INTEGRAL-EQUATIONS; ITERATED COLLOCATION; 2ND KIND; STABILITY; CONVERGENCE;

D O I：

10.1016/j.amc.2014.04.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, block BS methods are considered for the numerical solution of Volterra integro-differential equations (VIDEs). Convergence and stability properties are analyzed. A new Matlab code for the solution of VIDEs, called VIDEBS, is presented. Numerical results using a variable stepsize implementation show the effectiveness of the proposed code. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：198 / 210

页数：13

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