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Dr. Tamer Ahmed Abassy :: Publications:

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.

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