A splitting moving mesh method for reaction-diffusion equations of quenching type

DOI10.1016/j.jcp.2005.11.019zbMath1098.65090OpenAlexW2017668414MaRDI QIDQ2495754

Ming Tze Ong, Kewei Liang, Roger C. E. Tan, Ping Lin

Publication date: 30 June 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.11.019

zbMATH Keywords

stabilitynumerical experimentsparallel computationfinite differencessemidiscretizationnonlinear reaction-diffusion equationsmoving mesh methodquenching singularitynonuniform meshPeaceman-Rachford splitting

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) 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) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (10)

Numerical quenching for a semilinear parabolic equation with nonlinear boundary conditions ⋮ Numerical solutions to singular reaction-diffusion equation over elliptical domains ⋮ Numerical solution of quenching problems using mesh-dependent variable temporal steps ⋮ A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems ⋮ An adaptive algorithm for the Thomas-Fermi equation ⋮ Numerical approximations to a fractional Kawarada quenching problem ⋮ Dimension-splitting data points redistribution for meshless approximation ⋮ Heat conduction simulation of 2D moving heat source problems using a moving mesh method ⋮ Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term ⋮ An extrapolated splitting method for solving semi-discretized parabolic differential equations

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