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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
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| Title: | A new approach for a class of nonlinear boundary value problems with multiple solutions |
| Authors: | MS Semary, HN Hassan |
| Year: | 2015 |
| Keywords: | Not Available |
| Journal: | Journal of the Association of Arab Universities for Basic and Applied Sciences |
| Volume: | 17 |
| Issue: | Not Available |
| Pages: | 27-35 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mourad Samir abdallah Mohmmed Semary_1-s2.0-S1815385213000527-main.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, an approach based on the variational iteration method (VIM) is proposed with an auxiliary parameter to predict the multiplicity of the solutions of homogeneous nonlinear ordinary differential equations with boundary conditions. The proposed approach is capable to predict and calculate all branches of the solutions simultaneously. Four practical problems are chosen to show the efficiency and importance of the proposed method. The proposed approach successfully detects multiple solutions to |
