Quintic Spline Methods for the Solution of Singularly Perturbed Boundary-Value Problems

DOI10.1080/15502287.2010.501321zbMath1230.65087OpenAlexW2062529276MaRDI QIDQ3102115

S. H. Moatamedoshariati, Jalil Rashidinia, Reza Mohammadi

Publication date: 1 December 2011

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2010.501321

zbMATH Keywords

convergencenumerical resultsquintic splineoff-step pointseighth-order methodself-adjoint singularly perturbed boundary value problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Application of spline to approximate the solution of singularly perturbed boundary-value problems ⋮ Non-polynomial sextic spline solution of singularly perturbed boundary-value problems ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application ⋮ Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems ⋮ Numerical approach for differential-difference equations having layer behaviour with small or large delay using non-polynomial spline

Cites Work

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• Unnamed Item

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