Numerical methods for a class of nonlinear integro-differential equations

被引：5

作者：

Glowinski, R. ^{[1
]}

Shiau, L. ^{[2
]}

Sheppard, M. ^{[2
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Houston, Dept Math, Houston, TX 77058 USA

来源：

CALCOLO | 2013年 / 50卷 / 01期

基金：

美国国家科学基金会;

关键词：

Integro-differential equations; Finite differences; Symmetrized operator-splitting schemes; ELEMENT METHOD; SIMULATION;

D O I：

10.1007/s10092-012-0056-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a previous article (Glowinski, J. Math. Anal. Appl. 41, 67-96, 1973) the first author discussed several methods for the numerical solution of nonlinear equations of the integro-differential type with periodic boundary conditions. In this article we discuss an alternative methodology largely based on the Strang's symmetrized operator-splitting scheme. Several numerical experiments suggest that the new method is robust and accurate. It is also easier to implement than the various methods discussed by Glowinski in J. Math. Anal. Appl. 41, 67-96 (1973).

引用

页码：17 / 33

页数：17

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