Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms

DOI10.1016/J.CNSNS.2021.106232zbMath1480.65222OpenAlexW4205667585MaRDI QIDQ2076259

Abhay Kumar Chaturvedi, S. Chandra Sekhara Rao

Publication date: 16 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106232

zbMATH Keywords

boundary layersShishkin meshweakly coupled systemsingular perturbation problemsinterior layersparameters-uniform convergence

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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients ⋮ Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient

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