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

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)

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Document Details

Document Type
Technical Report
Publication Date
Nov 07, 1986
Accession Number
ADA185405

Entities

People

  • A. B. Stephens
  • A. K. Aziz
  • Manil Suri

Organizations

  • University of Maryland, Baltimore County

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Convergence
  • Diffusion
  • Equations
  • Finite Element Analysis
  • Inequalities
  • Kinetics
  • Maryland
  • Mathematics
  • Scientific Research
  • Steady State
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)