Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

DOI10.1007/978-3-319-25727-3_18zbMath1427.65127OpenAlexW2484452710MaRDI QIDQ5207422

S. Chandra Sekhara Rao, Sheetal Chawla

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_18

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 (11)

Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term ⋮ An Analysis of the Robust Convergent Method for a Singularly Perturbed Linear System of Reaction–Diffusion Type Having Nonsmooth Data ⋮ A fitted mesh method for a coupled system of two singularly perturbed first order differential equations with discontinuous source term ⋮ Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term ⋮ Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion Robin boundary value problem having boundary and internal layers ⋮ 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 ⋮ 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 ⋮ Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations ⋮ A parameter-robust convergence scheme for a coupled system of singularly perturbed first order differential equations with discontinuous source term

Cites Work

• Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system
• Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems
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