Approximation of systems of singularly perturbed elliptic reaction-diffusion equations with two parameters

DOI10.1134/S0965542507050077zbMath1288.65150MaRDI QIDQ5438133

G. I. Shishkin

Publication date: 22 January 2008

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodboundary value problemreaction-diffusion equationssingularly perturbed elliptic equationsdouble boundary layerepsilon-uniform convergencerate of convergence at a difference scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems ⋮ Initial or Boundary Value Problems for Systems of Singularly Perturbed Differential Equations and Their Solution Profile ⋮ Uniformly convergent additive schemes for 2D singularly perturbed parabolic systems of reaction-diffusion type ⋮ A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems

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