A finite element approach for finding positive solutions of a logistic equation with a sign-changing weight function

摘要

In this article, we describe the mathematical modeling and use finite element approximation to study the existence and multiplicity of numerical positive solutions of well-known generalized logistic equation with sign-changing weight function. We investigate the range of the real parameter involved in this problem to achieve the numerical solutions and discuss the behavior of the branch of the solutions using MATLAB 7.0.