| You are in:Home/Publications/Cubic Nonpolynomial Spline Approach to the Solution of a Second Order Two-Point Boundary Value Problem | |
Dr. Fathi Abdessalam Abdessalam Hasan :: Publications: |
|
| Title: | Cubic Nonpolynomial Spline Approach to the Solution of a Second
Order Two-Point Boundary Value Problem |
| Authors: | W.K. Zahra, F.A. Abd El-Salam, A.A. El-Sabbagh and Z.A. ZAki |
| Year: | 2010 |
| Keywords: | Cubic nonpolynomial spline; two-point boundary value problem; Neumann boundary conditions. |
| Journal: | Journal of American Science |
| Volume: | Volume 6 |
| Issue: | Issue 12 |
| Pages: | 297-302 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Fathi Abdessalam Abdessalam Hasan_Cubic Nonpolynomial Spline Approach to the Solution of a Second.pdf |
| Supplementary materials | Not Available |
| Abstract: |
Third and fourth order convergent methods based on cubic nonpolynomial spline function at midknotes are presented for the numerical solution of a second order two-point boundary value problem with Neumann conditions. Using this spline function a few consistency relations are derived for computing approximations to the solution of the problem. Convergence analysis of these methods is discussed two numerical examples are given to illustrate practical usefulness of the new methods. |
