Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations
In this paper, homotopy perturbation method (HPM) and variational iteration method (VIM) are applied to solve nonlinear oscillator differential equations. Illustrative examples reveal that these methods are very effective and convenient for solving nonlinear differential equations. Moreover, the met...
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| Veröffentlicht in: | Acta applicandae mathematicae 2008-11, Vol.104 (2), p.161-171 |
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| container_title | Acta applicandae mathematicae |
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| creator | Barari, A. Omidvar, M. Ghotbi, Abdoul R. Ganji, D. D. |
| description | In this paper, homotopy perturbation method (HPM) and variational iteration method (VIM) are applied to solve nonlinear oscillator differential equations. Illustrative examples reveal that these methods are very effective and convenient for solving nonlinear differential equations. Moreover, the methods do not require linearization or small perturbation. Comparisons are also made between the exact solutions and the results of the homotopy perturbation method and variational iteration method in order to prove the precision of the results obtained from both methods mentioned. |
| doi_str_mv | 10.1007/s10440-008-9248-9 |
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D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations</atitle><jtitle>Acta applicandae mathematicae</jtitle><stitle>Acta Appl Math</stitle><date>2008-11-01</date><risdate>2008</risdate><volume>104</volume><issue>2</issue><spage>161</spage><epage>171</epage><pages>161-171</pages><issn>0167-8019</issn><eissn>1572-9036</eissn><abstract>In this paper, homotopy perturbation method (HPM) and variational iteration method (VIM) are applied to solve nonlinear oscillator differential equations. Illustrative examples reveal that these methods are very effective and convenient for solving nonlinear differential equations. Moreover, the methods do not require linearization or small perturbation. 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| subjects | Applications of Mathematics Applied mathematics Approximation Boundary conditions Calculus of Variations and Optimal Control Optimization Computational Mathematics and Numerical Analysis Engineering Mathematics Mathematics and Statistics Methods Nonlinear programming Oscillators Partial Differential Equations Probability Theory and Stochastic Processes Research methodology Studies |
| title | Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations |
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