Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers

DOI10.1016/J.CAM.2018.11.021zbMath1434.65221OpenAlexW2902575016WikidataQ128835712 ScholiaQ128835712MaRDI QIDQ1736368

Sheetal Chawla, S. Chandra Sekhara Rao

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.11.021

zbMATH Keywords

singular perturbationboundary layersmeshparameter-uniform convergenceinterior layerscoupled semilinear system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term ⋮ Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers ⋮ Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Convergence analysis of a layer resolving numerical techniquefor a class of coupled system of singularly perturbed parabolic convection-diffusion equations having an interface ⋮ Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers ⋮ Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms ⋮ Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term

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