Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method
We have used the modified variational iteration method (MVIM) to find the approximate solutions for some nonlinear initial value problems in the mathematical physics, via the Burgers-Fisher equation, the Kuramoto-Sivashinsky equation, the coupled Schrodinger-KdV equations, and the long-short wave re...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/370843 |
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| _version_ | 1849395637501558784 |
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| author | Taher A. Nofal |
| author_facet | Taher A. Nofal |
| author_sort | Taher A. Nofal |
| collection | DOAJ |
| description | We have used the modified variational iteration method (MVIM) to find the approximate solutions for some nonlinear initial value problems in the mathematical physics, via the Burgers-Fisher equation, the Kuramoto-Sivashinsky equation, the coupled Schrodinger-KdV equations, and the long-short wave resonance equations together with initial conditions. The results of these problems reveal that the modified variational iteration method is very powerful, effective, convenient, and quite accurate to systems of nonlinear equations. It is predicted that this method can be found widely applicable in engineering and physics. |
| format | Article |
| id | doaj-art-aa22d3a58e3c4c3299e89c300e9ce4ee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-aa22d3a58e3c4c3299e89c300e9ce4ee2025-08-20T03:39:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/370843370843Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration MethodTaher A. Nofal0Mathematics Department, Faculty of Science, El-Minia University, El-Minia 61519, EgyptWe have used the modified variational iteration method (MVIM) to find the approximate solutions for some nonlinear initial value problems in the mathematical physics, via the Burgers-Fisher equation, the Kuramoto-Sivashinsky equation, the coupled Schrodinger-KdV equations, and the long-short wave resonance equations together with initial conditions. The results of these problems reveal that the modified variational iteration method is very powerful, effective, convenient, and quite accurate to systems of nonlinear equations. It is predicted that this method can be found widely applicable in engineering and physics.http://dx.doi.org/10.1155/2012/370843 |
| spellingShingle | Taher A. Nofal Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method Journal of Applied Mathematics |
| title | Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method |
| title_full | Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method |
| title_fullStr | Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method |
| title_full_unstemmed | Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method |
| title_short | Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method |
| title_sort | approximate solutions for nonlinear initial value problems using the modified variational iteration method |
| url | http://dx.doi.org/10.1155/2012/370843 |
| work_keys_str_mv | AT taheranofal approximatesolutionsfornonlinearinitialvalueproblemsusingthemodifiedvariationaliterationmethod |