Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/594245 |
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| author | A. A. Hemeda |
| author_facet | A. A. Hemeda |
| author_sort | A. A. Hemeda |
| collection | DOAJ |
| description | The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration. |
| format | Article |
| id | doaj-art-f3b4c4da0a3a443381211586975b7c15 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f3b4c4da0a3a443381211586975b7c152025-02-03T01:11:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/594245594245Modified Homotopy Perturbation Method for Solving Fractional Differential EquationsA. A. Hemeda0Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptThe modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration.http://dx.doi.org/10.1155/2014/594245 |
| spellingShingle | A. A. Hemeda Modified Homotopy Perturbation Method for Solving Fractional Differential Equations Journal of Applied Mathematics |
| title | Modified Homotopy Perturbation Method for Solving Fractional Differential Equations |
| title_full | Modified Homotopy Perturbation Method for Solving Fractional Differential Equations |
| title_fullStr | Modified Homotopy Perturbation Method for Solving Fractional Differential Equations |
| title_full_unstemmed | Modified Homotopy Perturbation Method for Solving Fractional Differential Equations |
| title_short | Modified Homotopy Perturbation Method for Solving Fractional Differential Equations |
| title_sort | modified homotopy perturbation method for solving fractional differential equations |
| url | http://dx.doi.org/10.1155/2014/594245 |
| work_keys_str_mv | AT aahemeda modifiedhomotopyperturbationmethodforsolvingfractionaldifferentialequations |