Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method
In this study, fractional Rosenau-Hynam equations is considered. We implement relatively new analytical techniques, the variational iteration method and the homotopy perturbation method, for solving this equation. The fractional derivatives are described in the Caputo sense. The two methods in appli...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/472030 |
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| author | R. Yulita Molliq M. S. M. Noorani |
| author_facet | R. Yulita Molliq M. S. M. Noorani |
| author_sort | R. Yulita Molliq |
| collection | DOAJ |
| description | In this study, fractional Rosenau-Hynam equations is considered. We implement relatively new analytical techniques, the variational iteration method and the homotopy perturbation method, for solving this equation. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The present methods perform extremely well in terms of efficiency and simplicity. |
| format | Article |
| id | doaj-art-36c043bb8ff74502af54fc2555b63ef0 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-36c043bb8ff74502af54fc2555b63ef02025-02-03T01:23:50ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/472030472030Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation MethodR. Yulita Molliq0M. S. M. Noorani1Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Medan UNIMED 20221, Medan, Sumatera Utara, IndonesiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, 43600 Bangi, Selangor, MalaysiaIn this study, fractional Rosenau-Hynam equations is considered. We implement relatively new analytical techniques, the variational iteration method and the homotopy perturbation method, for solving this equation. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The present methods perform extremely well in terms of efficiency and simplicity.http://dx.doi.org/10.1155/2012/472030 |
| spellingShingle | R. Yulita Molliq M. S. M. Noorani Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method International Journal of Differential Equations |
| title | Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method |
| title_full | Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method |
| title_fullStr | Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method |
| title_full_unstemmed | Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method |
| title_short | Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method |
| title_sort | solving the fractional rosenau hyman equation via variational iteration method and homotopy perturbation method |
| url | http://dx.doi.org/10.1155/2012/472030 |
| work_keys_str_mv | AT ryulitamolliq solvingthefractionalrosenauhymanequationviavariationaliterationmethodandhomotopyperturbationmethod AT msmnoorani solvingthefractionalrosenauhymanequationviavariationaliterationmethodandhomotopyperturbationmethod |