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AL-Rafidain Journal of Computer Sciences and Mathematics

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An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation

    Ann J. Al-Sawoor Merna A. Samarchi

AL-Rafidain Journal of Computer Sciences and Mathematics, 2013, Volume 10, Issue 2, Pages 153-163
10.33899/csmj.2013.163482

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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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(2013). An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation. AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), 153-163. doi: 10.33899/csmj.2013.163482
Ann J. Al-Sawoor; Merna A. Samarchi. "An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation". AL-Rafidain Journal of Computer Sciences and Mathematics, 10, 2, 2013, 153-163. doi: 10.33899/csmj.2013.163482
(2013). 'An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation', AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), pp. 153-163. doi: 10.33899/csmj.2013.163482
An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation. AL-Rafidain Journal of Computer Sciences and Mathematics, 2013; 10(2): 153-163. doi: 10.33899/csmj.2013.163482
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