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An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 12, Volume 10, Issue 2, 2013, Pages 153-163 PDF (444.41 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2013.163482 | ||
| Authors | ||
| Ann J. Al-Sawoor; Merna A. Samarchi | ||
| College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| In this paper, we apply He's variational iteration method (VIM) and the Adomian decomposition method (ADM) to approximate the solution of Duffing-Van Der Pol equation (DVP). In VIM, a correction functional is constructed by a general Lagrange multiplier which can be identified via a variational theory. The VIM yields an approximate solution in the form of a quickly convergent series. Comparisons of the two series solutions with the classical Runge-Kutta order four RK45 method show that the VIM is a powerful method for the solution of nonlinear equations. The convergent of He's variational iteration method to this equation is also considered. | ||
| Keywords | ||
| He's variational iteration method; Adomian decomposition method; Duffing-Van Der Pol equation; Runge-Kutta order four; approximate solution | ||
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