Application of Adomian Decomposition Method and Variational Iteration Method to Dynamical System Problems

Iranian Journal of Optimization

مقاله 9، دوره 12، شماره 1، شهریور 2020، صفحه 83-90   

نوع مقاله: Research Paper

نویسنده

Babatunde Morufu Yisa^*

Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria.

چکیده

Adomian decomposition method and He’s variational Iteration method are applied to nonlinear oscillator problems that involve conservative type of oscillators. The methods proved to be effective for the general and specific cases due to their algorithms that admit nonlinear terms in the problems. The two methods are tested on some specific problems in the literature, and the results obtained compared favourably with those obtained via the use of Energy balance method.

کلیدواژه‌ها

Nonlinear oscillator؛ Dynamic system؛ Energy balance method؛ Adomian decomposition method؛ Variational iteration method