A discrete Schwarz waveform relaxation method of higher order for singularly perturbed parabolic reaction-diffusion problems

DOI10.1007/s10910-019-01086-1zbMath1440.65126OpenAlexW2990792804MaRDI QIDQ2299173

Sunil Kumar, S. Chandra Sekhara Rao, Joginder Singh

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01086-1

zbMATH Keywords

Belousov-Zhabotinsky reactionreaction-diffusion problemsingularly perturbedSchwarz waveform relaxation methodparameter-uniform

Mathematics Subject Classification ID

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (7)

Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions ⋮ A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution ⋮ A higher‐order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction–diffusion problems with robin‐boundary conditions ⋮ Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions ⋮ A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems ⋮ Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers ⋮ Unnamed Item

Cites Work

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• A difference scheme on a non-uniform mesh for a differential equation with a small parameter in the highest derivative
• A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
• -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems

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