Spline techniques for the numerical solution of singular perturbation problems

DOI10.1023/A:1017968116819zbMath0995.65080MaRDI QIDQ1599288

Mohan K. Kadalbajoo, Kailash C. Patidar

Publication date: 9 June 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsconvergencesingular perturbationnumerical examplestwo-point boundary-value problemssplines in tensionspline difference schemessplines in compressionboundary layer(s)

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) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Non-polynomial sextic spline solution of singularly perturbed boundary-value problems ⋮ An efficient wavelet-based collocation method for handling singularly perturbed boundary-value problems in fluid mechanics ⋮ An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems ⋮ Unnamed Item ⋮ An exponentially fitted spline method for second-order singularly perturbed delay differential equations ⋮ Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems ⋮ Numerical solution of singularly perturbed convection-diffusion problem using parameter uniform B-spline collocation method ⋮ Spline based computational technique for linear singularly perturbed boundary value problems

Cites Work

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• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• An Interpolation Curve Using a Spline in Tension

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