Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme

DOI10.1080/00207160701870837zbMath1170.65067OpenAlexW2043107846WikidataQ115311370 ScholiaQ115311370MaRDI QIDQ5323211

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Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1080/00207160701870837

zbMATH Keywords

singular perturbationnumerical experimentsconvection-diffusion problemserror boundquadratic convergencefinite difference methodsShishkin meshhybrid schemediscontinuous convection termscaled derivativescaled discrete derivative

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Discontinuous ordinary differential equations (34A36) 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)

Related Items (7)

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 ⋮ Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term ⋮ An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient ⋮ Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ High-Order Method for a Singularly Perturbed Second-Order Ordinary Differential Equation with Discontinuous Source Term Subject to Mixed Type Boundary Conditions

Cites Work

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• 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 hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
• Approximation of derivatives in a convection-diffusion two-point boundary value problem

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