Tension spline method for second-order singularly perturbed boundary-value problems

DOI10.1080/00207160410001684280zbMath1083.65070OpenAlexW2046052693MaRDI QIDQ5719257

Islam Khan, Tariq Aziz

Publication date: 18 January 2006

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

Full work available at URL: https://doi.org/10.1080/00207160410001684280

zbMATH Keywords

convergencesingular perturbationnumerical examplesdifference 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 (11)

A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique ⋮ 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 ⋮ An efficient multi-derivative numerical method for chemical boundary value problems ⋮ A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates ⋮ Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem ⋮ A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE ⋮ Numerical solution of second order singularly perturbed delay differential equations via cubic spline in tension ⋮ A subdivision-based approach for singularly perturbed boundary value problem

Cites Work

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• Asymptotic and numerical analysis of singular perturbation problems: A survey
• A ``booster method for singular perturbation problems arising in chemical reactor theory
• Splines difference methods for a singular perturbation problem
• Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines
• On the solution of singularly perturbed boundary value problems by a chebyshev method
• The use of cubic splines in the solution of two-point boundary value problems

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