A numerical method to find positive solution of semilinear elliptic Dirichlet problems

被引：4

作者：

Afrouzi, GA ^{[1
]}

Khademloo, S ^{[1
]}

机构：

[1] Mazandaran Univ, Fac Basic Sci, Dept Math, Babol Sar 474161467, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 02期

关键词：

elliptic boundary value problems; indefinite weight function; finite difference method;

D O I：

10.1016/j.amc.2005.05.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we present a numerical approach for finding positive solutions for the elliptic problems of the type -Delta u =lambda f(x)g(u) for x is an element of Omega, with Dirichlet boundary condition. We will show that in which range of lambda this problem achieves a numerical solution and what is the behavior of the branch of this solutions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1408 / 1415

页数：8

共 6 条

[1] On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions [J].