Accession Number : ADA185405

Title :   Numerical Methods for Reaction-Diffusion Problems with Non-Differentiable Kinetics.

Descriptive Note : Summary rept.,

Corporate Author : MARYLAND UNIV BALTIMORE COUNTY CATONSVILLE DEPT OF MATHEMATICS

Personal Author(s) : Aziz, A K ; Stephens, A B ; Suri, Manil

PDF Url : ADA185405

Report Date : 07 Nov 1986

Pagination or Media Count : 23

Abstract : This document considers a class of steady-state semi- linear reaction-diffusion problems with non-differentiable kinetics. The analytical properties of these problems have received considerable attention in the literature. The first step in analyzing their numerical approximation is taken. The authors present a finite element method and establish error bounds which are optimal for some of the problems. In addition, a finite difference approach is also discussed. Numerical experiments for one-and two-dimensional problems are reported. (Author)

Descriptors :   *APPROXIMATION(MATHEMATICS), FINITE ELEMENT ANALYSIS, FINITE DIFFERENCE THEORY, ERROR ANALYSIS, CONVERGENCE, STEADY STATE, THEOREMS, ONE DIMENSIONAL, TWO DIMENSIONAL, DIFFUSION, REACTION KINETICS, OPTIMIZATION

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE