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Dr. Hany Nasr Hassan Mohammed :: Publications: |
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| Title: | Modified Homotopy Analysis Method for Second order nonlinear initial value problems |
| Authors: | Hany N. Hassan; Magdy A. El-Tawil |
| Year: | 2011 |
| Keywords: | Second order nonlinear initial value problems, Homotopy analysis method, Modified homotopy analysis method, Boussinesq type equations |
| Journal: | International Journal of Applied Mathematics and Mechanics |
| Volume: | 7 |
| Issue: | 18 |
| Pages: | 82-108 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, a new modification of the homotopy analysis method is proposed for solving a special kind of nonlinear differential equations. This modification improves the convergence of the series solution, eliminates the unneeded terms and reduces time consuming in the homotopy analysis method (HAM). Boussinesq type equations are used as test problems to show the simplicity and effectiveness of the method. |
