|
Title
|
A finite volume element method for finding positive solutions of semilinear elliptic Dirichlet problems
|
|
Type
|
JournalPaper
|
|
Keywords
|
Elliptic boundary value problem; Finite element; Finite volume element; Principal eigenvalue.
|
|
Abstract
|
The Finite Volume Element (FVE) methods for finding positive solutions for the elliptic problems of the type −∆u = λf(x)g(u) for x ∈ Ω, with Dirichlet boundary condition are discussed and analyzed in this paper. By using Matlab, we visualize the range of λ in which this problem achieves a numerical solution, and also discussed the behavior of the branch of this solution.
|
|
Researchers
|
Allah Bakhsh Yazdani Cherati (Third Researcher), Ghasem Alizadeh Afrouzi (Second Researcher), Hassan Hosseinzadeh (First Researcher)
|