Numerical study and stability of the Lengyel-Epstein chemical model with diffusion

DOI10.1186/s13662-020-02877-6zbMath1486.35268OpenAlexW3049240624MaRDI QIDQ2119513

Ebraheem O. Alzahrani, Poom Kumam, Zain Ul Abadin Zafar, Zahir Shah, Nigar Ali

Publication date: 29 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02877-6

zbMATH Keywords

stability analysismathematical modelingCrank-Nicolson methodforward Euler methodnonstandard finite difference methodequilibrium nodesLengyel-Epstein chemical reaction model

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) Chemical kinetics in thermodynamics and heat transfer (80A30) Initial-boundary value problems for second-order parabolic systems (35K51) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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