An adaptive Rothe method for nonlinear reaction-diffusion systems

DOI10.1016/0168-9274(93)90137-GzbMath0789.65075WikidataQ126470073 ScholiaQ126470073MaRDI QIDQ1308569

Jens Lang, Artur Walter

Publication date: 13 June 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimatesfinite element methodabstract Cauchy problempopulation ecologynonlinear reaction-diffusion systemsflame propagationEuler methodsadaptive Rothe methodadaptive two-stage Runge-Kutta method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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