Quintic spline approach to the solution of a singularly-perturbed boundary-value problem

DOI10.1023/A:1017959915002zbMath0995.65079OpenAlexW1512324952MaRDI QIDQ1599283

R. Smith

Publication date: 9 June 2002

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

Full work available at URL: https://doi.org/10.1023/a:1017959915002

zbMATH Keywords

singular perturbationuniform convergencenumerical examplesquintic splinesboundary layersboundary-value problemsmonotone matricesfourth-order uniform mesh 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 (14)

Application of spline to approximate the solution of singularly perturbed boundary-value problems ⋮ Non-polynomial sextic spline solution of singularly perturbed boundary-value problems ⋮ Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems ⋮ Unnamed Item ⋮ Sextic spline solution of a singularly perturbed boundary-value problem ⋮ Non-polynomial spline solution of singularly perturbed boundary-value problems ⋮ A survey on parametric spline function approximation ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application ⋮ An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ Quintic Spline Methods for the Solution of Singularly Perturbed Boundary-Value Problems ⋮ Robust numerical scheme for nonlinear modified Burgers equation

Cites Work

• Numerical solution of stiff and convection-diffusion equations using adaptive spline function approximation
• Solving singularly perturbed boundary-value problems by spline in tension
• Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines
• A Hybrid Asymptotic-Finite Element Method for Stiff Two-Point Boundary Value Problems
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