Convergence Analysis and Implementation of Adomian Decomposition Method on Second-order Oscillatory Problems
Asian Research Journal of Mathematics · pp. 1–12 · Published 23 Feb 2017
10.9734/ARJOM/2017/32011Abstract
In this paper, a new convergence analysis of Adomian Decomposition Method (ADM) for second-order problems will be presented. The ADM will also be implemented on second-order oscillatory problems to generate approximate solutions. This research is motivated by the fact that a lot of attention has been devoted recently to the use of ADM to solve differential equations. This may not be unconnected with the fact that the method provides the solution to problems in a rapidly convergent series with components that are elegantly computable. The method also has an advantage of being continuous with no resort to discretization as is the case with most conventional methods.
Cited by 3
Yusry O. El-Dib, Nasser S. Elgazery · Sound&Vibration · 2022
Ma’mon Abu Hammad, Alvaro H. Salas, S. A. El-Tantawy · AIP Advances · 2020
Yunbin Xu, Meihua Wei · Advances in Mathematical Physics · 2019
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