The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term

DOI10.1007/978-3-030-11539-5_18zbMath1434.65097OpenAlexW2911935613MaRDI QIDQ5235281

Sheetal Chawla, S. Chandra Sekhara Rao

Publication date: 10 October 2019

Published in: Finite Difference Methods. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-11539-5_18

zbMATH Keywords

singular perturbation Shishkin mesh coupled system discrete Green's function uniformly convergent discontinuous source term semilinear interior layers

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

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 ⋮ Convergence analysis of a layer resolving numerical techniquefor a class of coupled system of singularly perturbed parabolic convection-diffusion equations having an interface ⋮ 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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