Staff Members - Benha University
A parametric spline method for second-order singularly perturbed boundary-value problem
IOSR Journal of Mathematics (IOSR-JM) • 2013
Publication Information
Authors
F. A. Abd El-Salam
Keywords
Singular perturbation; parametric spline functions; BVPs; ODEs.
Journal
IOSR Journal of Mathematics (IOSR-JM)
Publisher
Not Available
Volume
Volume 9
Issue
Issue 3
Pages
1-5
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
A numerical method based on parametric spline with adaptive parameter is given for the second order
singularly perturbed two-point boundary value problems of the form y p(x)y q(x)y r(x); y(a) ; y(b)
The derived method is second-order and fourth-order convergence depending on the choice of the two
parameters and . Error analysis of a method is briefly discussed. The method is tested on an example and
the results found to be in agreement and support the predicted theory.
singularly perturbed two-point boundary value problems of the form y p(x)y q(x)y r(x); y(a) ; y(b)
The derived method is second-order and fourth-order convergence depending on the choice of the two
parameters and . Error analysis of a method is briefly discussed. The method is tested on an example and
the results found to be in agreement and support the predicted theory.