Article ID Journal Published Year Pages File Type
4631479 Applied Mathematics and Computation 2011 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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