A method for the numerical solution of a class of nonlinear diffusion equations
type: Item
instance of: scholarly article
title: A method for the numerical solution of a class of nonlinear diffusion equations
zbMATH Open document ID: 0766.65068
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-04-01T00:00:00Z
review text: The author proposes solving a nonlinear diffusion problem by freezing the diffusion coefficient in the matrix approximating the diffusion term. The method appears to be closely related to the more general method proposed by \textit{J. Douglas} jun. [The mathematics of finite elements and applications III. Proc. Conf., Brunal Univ., Uxbridge/U.K. 1978, 289-304 (1979; Zbl 0435.65095)] referred to in this paper.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 150396
zbMATH Keywords: finite differences
zbMATH Keywords: nonlinear diffusion problem
zbMATH Keywords: freezing the diffusion coefficient
author: Luciano Lopez
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072931
OpenAlex ID: W1997369645
cites work: Q4146022
cites work: Q3875272
cites work: Q4162425
cites work: Boundary behavior and monotonicity estimates for solutions to nonlinear diffusion equations
cites work: Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
cites work: Stability and Asymptotic Behaviour for the Numerical Solution of a Reaction—Diffusion Model for a Deterministic Diffusive Epidemic
cites work: Stability of invariant regions for an alternating direction method for systems of nonlinear reaction-diffusion equations
cites work: Q5536978
cites work: Q5342712
cites work: Q5180217
DOI: 10.1216/RMJM/1181072931
description: scientific article; zbMATH DE number 150396