Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631479 | Applied Mathematics and Computation | 2011 | 8 Pages |
Abstract
In this paper we describe the Rothe-finite element numerical scheme to find an approximate solution of a nonlinear diffusion problem modeled as a parabolic partial differential equation of even order. This scheme is based on the Rothe’s approximation in time and on the finite element method (FEM) approximation in the spatial discretization. A proof of convergence of the approximate solution is given and error estimates are shown.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.S. El-Azab, K.M. Abdelgaber,