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Dr. Fathi Abdessalam Abdessalam Hasan :: Publications: |
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| Title: | A parametric spline method for second-order singularly
perturbed boundary-value problem |
| Authors: | F. A. Abd El-Salam |
| Year: | 2013 |
| Keywords: | Singular perturbation; parametric spline functions; BVPs; ODEs. |
| Journal: | IOSR Journal of Mathematics (IOSR-JM) |
| Volume: | Volume 9 |
| Issue: | Issue 3 |
| Pages: | 1-5 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Fathi Abdessalam Abdessalam Hasan_A0930105.pdf |
| 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. |
