A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients

DOI10.1080/00207160802322332zbMath1195.65098OpenAlexW2171756088MaRDI QIDQ3568467

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Publication date: 11 June 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802322332

zbMATH Keywords

numerical examplesShishkin meshfinite differencesingular perturbation problemweakly coupled systemdiscontinuous convection and source termsstrong layersystem of singularly differential equations of second order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales ⋮ 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 ⋮ Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers ⋮ A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh ⋮ An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient ⋮ An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term ⋮ A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms ⋮ A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems

Cites Work

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• A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• A numerical method for a system of singularly perturbed reaction-diffusion equations
• A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
• Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer
• Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
• A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems

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