Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term

DOI10.1080/01630563.2022.2111576OpenAlexW4292325803MaRDI QIDQ5038145

Sheetal Chawla, Urmil Suhag

Publication date: 29 September 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2111576

zbMATH Keywords

Green's functionfinite difference schemesingularly perturbeddiscontinuous source termlayer adapted meshessemilinear reaction-diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Operator theory (47-XX) Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parameter-robust numerical method for a system of singularly perturbed initial value problems
• Maximum-norm error analysis of a non-monotone FEM for a singularly perturbed reaction-diffusion problem
• Numerical solution of singularly perturbed linear parabolic system with discontinuous source term
• Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers
• Robin boundary value problems for a singularly perturbed weakly coupled system of convection-diffusion equations having discontinuous source term
• Sufficient conditions for uniform convergence on layer-adapted meshes for one-dimensional reaction-diffusion problems
• Numerical Solution for a Coupled System of Singularly Perturbed Initial Value Problems with Discontinuous Source Term
• Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term
• A UNIFORMLY CONVERGENT NUMERICAL METHOD FOR A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND WEAK INTERIOR LAYERS
• Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems
• A System of Singularly Perturbed Semilinear Equations
• Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems
• Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term
• The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term
• A class of singularly perturbed semilinear differential equations with interior layers
• Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems

This page was built for publication: Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term