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Dr. Fathi Abdessalam Abdessalam Hasan :: Publications: |
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| Title: | The Numerical Solution of Linear Third Order Boundary Value
Problems using Nonpolynomial Spline Technique |
| Authors: | F.A. Abd El-Salam, A.A. El-Sabbagh and Z.A. ZAki |
| Year: | 2010 |
| Keywords: | Quartic nonpolynomial spline; third order two-point boundary value problem; convergence analysis, finite difference |
| Journal: | Journal of American Science |
| Volume: | volume 6 |
| Issue: | Issue 12 |
| Pages: | 303 -309 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Fathi Abdessalam Abdessalam Hasan_The Numerical Solution of Linear Third Order Boundary Value.pdf |
| Supplementary materials | Not Available |
| Abstract: |
Second and fourth order convergent methods based on Quartic nonpolynomial spline function are presented for the numerical solution of a third order two-point boundary value problem. The proposed approach gives better approximations than existing polynomial spline and finite difference methods and has a lower computational cost. Convergence analysis of the proposed method is discussed; two numerical examples are included to illustrate the efficiency of the method. |
