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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
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| Title: | Analytic approximate solution for the Bratu’s problem by optimal homotopy analysis method |
| Authors: | H.N. Hassan, M.S. Semary |
| Year: | 2013 |
| Keywords: | Not Available |
| Journal: | Communications in Numerical Analysis |
| Volume: | 2013 |
| Issue: | Not Available |
| Pages: | 1-14 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mourad Samir abdallah Mohmmed Semary_25763923.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In This paper, we present analytic approximate solutions for Bratu's problem with high accuracy for different values of λ. We solve this nonlinear problem without any approximations or transformation in the problem and we successfully obtain the two branches of solutions for different values λ using homotopy analysis method. A new efficient approach is proposed to obtain the optimal value of convergence controller parameter ℏ to guarantee the convergence of the obtained series solution |
