Stable rotational symmetric schemes for nonlinear reaction-diffusion equations

DOI10.1016/j.camwa.2022.01.026OpenAlexW4210378909MaRDI QIDQ2667974

Seongjai Kim, George V. Popescu, Philku Lee

Publication date: 2 March 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.01.026

zbMATH Keywords

rotational symmetryreaction-diffusion equationsaveraging schemebiological pattern formationtime-stepping procedurevariable-\(\theta\) method

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) Developmental biology, pattern formation (92C15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation
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• A variable-\(\theta\) method for parabolic problems of nonsmooth data
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• The finite volume spectral element method to solve Turing models in the biological pattern formation
• An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems
• Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
• The chemical basis of morphogenesis
• Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations
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