Numerical solution of fast diffusion or slow diffusion equations
type: Item
instance of: scholarly article
title: Numerical solution of fast diffusion or slow diffusion equations
zbMATH Open document ID: 0932.65101
DOI: 10.1016/S0377-0427(98)00106-X
author: M. N. Le Roux
published in: Journal of Computational and Applied Mathematics
publication date: 2000-03-21T00:00:00Z
review text: This paper discusses a semi-discretization in time of a nonlinear reaction-diffusion equation, the solution of which may vanish or blow-up in finite time. It is shown that the numerical solution reflects the exact one in this respect.
reviewed by: Michael Sever
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1326417
zbMATH Keywords: semi-discretization
zbMATH Keywords: nonlinear reaction-diffusion equation
zbMATH Keywords: blow-up
MaRDI profile type: Publication
cites work: Q5624091
cites work: On classification of blow-up patterns for a quasilinear heat equation
cites work: Stability of the separable solution for fast diffusion
cites work: Blowup in a Partial Differential Equation with Conserved First Integral
cites work: Moving Mesh Methods for Problems with Blow-Up
cites work: Blow-up of solutions of semilinear parabolic equations
cites work: Q3697477
cites work: Blow-up of solutions of nonlinear degenerate parabolic equations
cites work: Q4743149
cites work: Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source
cites work: Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
cites work: Regional Blow Up in a Semilinear Heat Equation with Convergence to a Hamilton–Jacobi Equation
cites work: Elliptic boundary value problems suggested by nonlinear diffusion processes
cites work: Semi-discretization in time of a fast diffusion equation
cites work: Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
cites work: Numerical solution of a fast diffusion equation
cites work: Q5734698
cites work: Continuity of solutions of a singular parabolic equation
cites work: The initial and boundary value problem for a class of degenerate parabolic equations
cites work: Global Behavior for a Class of Nonlinear Evolution Equations
cites work: Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
full work available at URL: s0377-0427(98)00106-x
OpenAlex ID: W2067014089
description: scientific article; zbMATH DE number 1326417