A hybrid initial-value technique for singularly perturbed boundary value problems

DOI10.1007/s40314-013-0020-zzbMath1273.65102OpenAlexW2022956624MaRDI QIDQ2392977

Rajesh K. Bawa, A. K. Lal, Vinod Kumar

Publication date: 5 August 2013

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0020-z

zbMATH Keywords

singularly perturbed boundary value problembackward difference operatortrapezoidal methodasymptotic expansion approximationpiecewise uniform Shishkin mesh

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

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• New initial-value method for singularly perturbed boundary-value problems
• A boundary value technique for singular perturbation problems
• The midpoint upwind scheme
• Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations
• Initial-value methods for second-order singularly perturbed boundary- value problems
• An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem

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