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

DOI10.1016/S0096-3003(01)00146-1zbMath1030.65087OpenAlexW2044768797MaRDI QIDQ1855788

Kailash C. Patidar, Mohan K. Kadalbajoo

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00146-1

zbMATH Keywords

convergencesingular perturbationnumerical examplesboundary value problemserror boundsecond-order differential equationinterior layerstension spline methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

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• Difference approximations for singular perturbations of systems of ordinary differential equations
• Properties of splines in tension
• A practical guide to splines
• A Hybrid Asymptotic-Finite Element Method for Stiff Two-Point Boundary Value Problems
• Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• An Interpolation Curve Using a Spline in Tension