Numerical solution of singularly perturbed two point boundary value problems by spline in compression

DOI10.1080/00207160108805064zbMath0984.65073OpenAlexW2049289309MaRDI QIDQ2740956

Mohan K. Kadalbajoo, Kailash C. Patidar

Publication date: 12 May 2002

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

Full work available at URL: https://doi.org/10.1080/00207160108805064

zbMATH Keywords

singular perturbationspline approximationtwo point boundary value problemsspline in compression

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (7)

High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives ⋮ An exponential spline difference scheme for solving a class of boundary value problems of second-order ordinary differential equations ⋮ A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ Solution of Singularly Perturbed Boundary Value Problems with Singularity Using Variable Mesh Finite Difference Method

Cites Work

• A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems
• Spline function approximation in discrete mechanics
• A boundary value technique for singular perturbation problems
• A Hybrid Asymptotic-Finite Element Method for Stiff Two-Point Boundary Value Problems
• Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems
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