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Dr. Tamer Ahmed Abassy :: Publications: |
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| Title: | Improved Adomian decomposition method |
| Authors: | dr.tamer abassy |
| Year: | 2022 |
| Keywords: | Nonlinear differential equation Adomian decomposition method Boussinesq equation |
| Journal: | Not Available |
| Volume: | 59 |
| Issue: | Not Available |
| Pages: | 42-54 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Tamer Ahmed Abassy_1-Improved Adomian decomposition method-final.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper a new treatment for the Adomian decomposition method (ADM) is introduced. The new treatment is called the improved Adomian decomposition method (IADM) which improves the results obtained from the known Adomian decomposition method. The improved Adomian decomposition method is applied for the analytic treatment of nonlinear initial value problems. The improved method accelerates the convergence of the series solution, and provides the exact power series solution. It solves the drawbacks in the standard Adomian decomposition method. |
