A Finite Element Approach for Finding Positive Solutions of Semilinear Elliptic Dirichlet Problems

被引：2

作者：

Kumar, Manoj ^{[1
]}

Kumar, Prashant ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 05期

关键词：

elliptic boundary value problem; finite element method; Newton-Raphson method;

D O I：

10.1002/num.20390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article, we described the finite element method 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. By using Matlab, we visualize the range of X in which this problem achieves a numerical Solution, and also discussed the behavior of the branch of this solution. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1119-1128, 2009

引用

页码：1119 / 1128

页数：10

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