Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems

DOI10.1007/s10444-007-9058-zzbMath1167.65044OpenAlexW2117946927MaRDI QIDQ1016128

Martin Stynes, Eugene O'Riordan

Publication date: 4 May 2009

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-007-9058-z

zbMATH Keywords

convergencesingular perturbationerror boundsfinite differencesShishkin meshsystemconvection-diffusion equationspiecewise-uniform mesh

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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