Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems

DOI10.1137/0901018zbMath0465.65045OpenAlexW2040162491MaRDI QIDQ3917442

William Mathon, Joseph E. Flaherty

Publication date: 1980

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6cc120b9d19f1d9d4d3a49f4048d0adbb9d2b128

zbMATH Keywords

numerical examplessingular perturbationscollocation methodsboundary layerssplines under tension

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Singular perturbations of ordinary differential equations (34D15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (22)

Variable Mesh Spline In Compression For The Numerical Solution Of Singular Perturbation Problems ⋮ An approach to the interpolation of nonuniformly spaced data ⋮ A difference method for non-self-adjoint singular perturbation problem of second order ⋮ Application of spline to approximate the solution of singularly perturbed boundary-value problems ⋮ Solving singularly perturbed boundary-value problems by spline in tension ⋮ New initial-value method for singularly perturbed boundary-value problems ⋮ Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems ⋮ Exponentially fitted spline in compression for the numerical solution of singular perturbation problems ⋮ Asymptotic and numerical analysis of singular perturbation problems: A survey ⋮ B-splines with artificial viscosity for solving singularly perturbed boundary value problems ⋮ Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations ⋮ B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems ⋮ A collocation method for singularly perturbed two-point boundary value problems with splines in tension ⋮ Numerical solution of singularly perturbed two point boundary value problems by spline in compression ⋮ High-order exponentially fitted difference schemes for singularly perturbed two-point boundary value problems ⋮ B-SPLINE COLLOCATION METHOD FOR A SINGULARLY PERTURBED REACTION–DIFFUSION PROBLEM USING ARTIFICIAL VISCOSITY ⋮ Numerical solution of nonlinear hyperbolic conservation laws using exponential splines ⋮ B-spline collocation method for the singular-perturbation problem using artificial viscosity ⋮ Initial-value methods for second-order singularly perturbed boundary- value problems ⋮ Numerical treatment of singularly perturbed two point boundary value problems using initial-value method ⋮ Spline based computational technique for linear singularly perturbed boundary value problems ⋮ Spline techniques for the numerical solution of singular perturbation problems

Uses Software

• COLSYS

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