Numerical solution of fast diffusion or slow diffusion equations

DOI10.1016/S0377-0427(98)00106-XzbMath0932.65101OpenAlexW2067014089MaRDI QIDQ1298633

Marie-Noëlle Le Roux

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00106-x

zbMATH Keywords

blow-upsemi-discretizationnonlinear reaction-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

Given a one-step numerical scheme, on which ordinary differential equations is it exact? ⋮ COMPARISON OF FINITE DIFFERENCE SCHEME AND ADOMIAN DECOMPOSITION METHOD FOR SOLVING REACTION DIFFUSION EQUATION WITH BLOW UP ⋮ Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes ⋮ Numerical solution of a nonlinear reaction diffusion equation ⋮ Full discretization of some reaction diffusion equation with blow up ⋮ Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-discretization in time of a fast diffusion equation
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Blow-up of solutions of semilinear parabolic equations
• Stability of the separable solution for fast diffusion
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
• On classification of blow-up patterns for a quasilinear heat equation
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Blowup in a Partial Differential Equation with Conserved First Integral
• Regional Blow Up in a Semilinear Heat Equation with Convergence to a Hamilton–Jacobi Equation
• The initial and boundary value problem for a class of degenerate parabolic equations
• Global Behavior for a Class of Nonlinear Evolution Equations
• Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source
• Numerical solution of a fast diffusion equation
• Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
• Continuity of solutions of a singular parabolic equation
• Moving Mesh Methods for Problems with Blow-Up

This page was built for publication: Numerical solution of fast diffusion or slow diffusion equations