Explosive behavior in spatially discrete reaction-diffusion systems

DOI10.3934/DCDSB.2009.12.693zbMath1186.65124OpenAlexW2028877166MaRDI QIDQ1045753

Ana Carpio, Gema Duro

Publication date: 16 December 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.12.693

zbMATH Keywords

semidiscretizationRunge-Kutta methodsReaction-diffusion equationexplosive behaviorstability and blow-up region

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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