A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems

DOI10.1016/j.amc.2012.05.016zbMath1280.65086OpenAlexW2053856958MaRDI QIDQ387513

Matthew A. Beauregard, Qin Sheng

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.016

zbMATH Keywords

monotonicityconvergencenumerical examplespositivitysplittingnonlinear reaction-diffusion equationsquenching singularityPeaceman-Rachford splitting methodlinear numerical stabilitytime adaptation

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)

Related Items (5)

A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term ⋮ Extremely low order time-fractional differential equation and application in combustion process ⋮ Quenching phenomenon in a fractional diffusion equation and its numerical simulation ⋮ Adaptive high-order finite difference analysis of 2D quenching-type convection-reaction-diffusion equation ⋮ Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term

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