Numerical solution of a nonlinear reaction diffusion equation

DOI10.1016/j.cam.2004.03.008zbMath1127.65320OpenAlexW1978484959MaRDI QIDQ1765257

Alain-Yves Le Roux, Marie-Noëlle Le Roux

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.008

zbMATH Keywords

convergenceCauchy problemfinite elementEuler methodparabolic problemfinite-time blowuphyperbolic problemnonlinear reaction diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

COMPARISON OF FINITE DIFFERENCE SCHEME AND ADOMIAN DECOMPOSITION METHOD FOR SOLVING REACTION DIFFUSION EQUATION WITH BLOW UP ⋮ Discretization of the Cauchy problem for a fast diffusion equation ⋮ Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes

Cites Work

• Unnamed Item
• Compact sets in the space \(L^ p(0,T;B)\)
• On a blow-up set for the quasilinear heat equation \(u_ t=(u^ \sigma u_ x)_ x + u^{\sigma+1}\)
• Blowup in diffusion equations: A survey
• Numerical solution of fast diffusion or slow diffusion equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On classification of blow-up patterns for a quasilinear heat equation
• Hyperbolic systems of conservation laws II
• Global Behavior for a Class of Nonlinear Evolution Equations
• Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source
• Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
• Numerical Solution of Nonlinear Reaction Diffusion Processes
• Solutions with shocks: An example of an L₁‐contractive semigroup
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• The partial differential equation u_t + uu_x = μ_xx

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