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The Homotopy Analysis Method in Turning Point Problems | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 5, Volume 14, Issue 1, 2020, Pages 51-65 PDF (1.23 M) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2020.164676 | ||
| Authors | ||
| Rasha F. Ahmed* 1; Waleed M. Al-Hayani2 | ||
| 1Department of Mathematics ,College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq | ||
| 2college of computer science and mathmatics / mosul university | ||
| Abstract | ||
| In this paper, we used the homotopy analysis method to ordinary differential equations of type boundary value problems with a parameter representing turning points."To show the high accuracy of the solution results, we compare the numerical results applying the standard homotopy analysis method with the integral equation and the numerical solution of the Simpson and Trapezoidal rules."Also, we give the estimated order of convergence (local) and the global estimated order of convergence along the interval. | ||
| Keywords | ||
| Homotopy Analysis Method; Turning Points; boundary value problems | ||
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