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Optimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method
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T. Allahviranloo   , Sh. Sadigh Behzadi |
| Department of Mathematics, Islamic Azad University, Parand Branch, Parand |
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Abstract: (6523 Views) |
| In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods. |
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| Keywords: Regularized long-wave equation, Adomian decomposition method, Modified Adomian decomposition method, Variational iteration method, Modified variational iteration method, Homotopy analysis method. |
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Full-Text [PDF 811 kb]
(2165 Downloads)
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Type of Study: Research |
Subject:
General
Received: 2016/10/3 | Accepted: 2017/03/10 | Published: 2017/09/19
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