THE SOLUTION OF A PARTIAL DIFFERENTIAL EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITIONS

被引：0

作者：

Farajzadeh, A. ^{[1
]}

Pour, A. Hossein ^{[1
]}

机构：

[1] Islamic Azad Univ, Kermanshah Branch, Kermanshah, Iran

来源：

BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS | 2011年

关键词：

DIFFUSION SUBJECT; SPECIFICATION; MASS;

D O I：

10.1142/9789814327862_0037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a numerical method for the solution of the heat equation with non-linear nonlocal boundary conditions. Here non-linear terms are approximated by Richtmyer's linearization method. The integrals in the boundary equations are approximated by the composite Simpson rule. A difference scheme is considered for the one-dimensional heat equation. In final part the numerical results produced by this method is compared.

引用

页码：368 / 373

页数：6