A fully adaptive approximation for quenching‐type reaction‐diffusion equations over circular domains

DOI10.1002/num.21820zbMath1288.65117OpenAlexW1893884844MaRDI QIDQ5407977

Qin Sheng, Matthew A. Beauregard

Publication date: 8 April 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21820

zbMATH Keywords

stabilitynumerical experimentscircular domainfinite diferencesquenching-type nonlinear 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

On the existence of weak solutions for a class of singular reaction diffusion systems ⋮ Numerical solutions to singular reaction-diffusion equation over elliptical domains ⋮ Preconditioned iterative methods for fractional diffusion models in finance ⋮ An operator splitting approach for two-dimensional Kawarada problems ⋮ Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations ⋮ Numerical approximations to a fractional Kawarada quenching problem ⋮ A continuing exploration of a decomposed compact method for highly oscillatory wave problems ⋮ Second-order semi-discretized schemes for solving stochastic quenching models on arbitrary spatial grids

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