A finite element approach for finding positive solutions of semilinear elliptic Dirichlet problems |
| |
| Authors: | Manoj Kumar Prashant Kumar |
| |
| Institution: | Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, Uttar Pradesh, India |
| |
| Abstract: | In the present article, we described the finite element method for finding positive solutions for the elliptic problems of the type ‐ Δu = λf(x)g(u) for x ε Ω, with Dirichlet boundary condition. 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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009 |
| |
| Keywords: | elliptic boundary value problem finite element method Newton‐Raphson method |
|
|
