A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms

DOI10.1007/S10092-017-0218-3zbMath1380.65132OpenAlexW2580642024MaRDI QIDQ1675441

Shanthi Vembu, Mahabub Basha Pathan

Publication date: 27 October 2017

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-017-0218-3

zbMATH Keywords

convergencesingular perturbationerror estimatesnumerical experimentsfinite difference schemeconvection-diffusion problemsShishkin meshescubic splineinterior layers

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Finite element analysis of singularly perturbed problems with discontinuous diffusion ⋮ Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time ⋮ An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient ⋮ Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer ⋮ A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems

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