Pointwise error estimates for a system of two singularly perturbed time‐dependent semilinear reaction–diffusion equations

DOI10.1002/mma.7626zbMath1481.65152OpenAlexW3179074586MaRDI QIDQ5015802

Abhay Kumar Chaturvedi, S. Chandra Sekhara Rao

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7626

zbMATH Keywords

Shishkin meshweakly coupled systemsingular perturbation problemsnonlinear finite difference schemeoverlapping boundary layersparabolic semilinear reaction-diffusion equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Semilinear parabolic equations (35K58) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term ⋮ Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms

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