A HYBRID DIFFERENCE SCHEME FOR SINGULARLY PERTURBED SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS CONVECTION COEFFICIENT AND MIXED TYPE BOUNDARY CONDITIONS

DOI10.1142/S0219876208001637zbMath1264.65117OpenAlexW2093499086MaRDI QIDQ4924213

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Publication date: 31 May 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876208001637

zbMATH Keywords

hybrid schemesingular perturbation problemspiecewise uniform meshmixed type boundary conditionsscaled derivativescaled discrete derivative

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

An Analysis of the Robust Convergent Method for a Singularly Perturbed Linear System of Reaction–Diffusion Type Having Nonsmooth Data ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Second order difference scheme for singularly perturbed boundary turning point problems ⋮ PARAMETER-UNIFORM IMPROVED HYBRID NUMERICAL SCHEME FOR SINGULARLY PERTURBED PROBLEMS WITH INTERIOR LAYERS ⋮ Comparative study on difference schemes for singularly perturbed boundary turning point problems with Robin boundary conditions

Cites Work

• Unnamed Item
• The midpoint upwind scheme
• Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
• A parameter robust second order numerical method for a singularly perturbed two-parameter problem
• Approximation of derivatives in a convection-diffusion two-point boundary value problem

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