Tension Spline for the Solution of Self-adjoint Singular Perturbation Problems

DOI10.1080/00207160211293zbMath1004.65078OpenAlexW2012473697MaRDI QIDQ4551537

Kailash C. Patidar, Mohan K. Kadalbajoo

Publication date: 15 October 2002

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

Full work available at URL: https://doi.org/10.1080/00207160211293

zbMATH Keywords

algorithmsconvergencesingular perturbationnumerical examplesboundary value problemsspline in tensionspline difference scheme

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)

Related Items (5)

A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ Exponentially fitted tension spline method for singularly perturbed differential difference equations ⋮ A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh ⋮ A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations ⋮ A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates

Cites Work

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• Solving singularly perturbed boundary-value problems by spline in tension
• Properties of splines in tension
• A Uniformly Accurate Finite-Element Method for a Singularly Perturbed One-Dimensional Reaction-Diffusion Problem
• A variational difference scheme for a boundary value problem with a small parameter in the highest derivative

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