Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method
The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornberg–Whitham, equation involving Jumarie’s modified Riemann–Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides the solution in the form of a convergent series wit...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-12-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016814000945 |
| _version_ | 1819107584910557184 |
|---|---|
| author | Birol İbiş Mustafa Bayram |
| author_facet | Birol İbiş Mustafa Bayram |
| author_sort | Birol İbiş |
| collection | DOAJ |
| description | The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornberg–Whitham, equation involving Jumarie’s modified Riemann–Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides the solution in the form of a convergent series with easily calculable terms. The obtained approximate solutions are compared with the exact or existing numerical results in the literature to verify the applicability, efficiency and accuracy of the method. |
| first_indexed | 2024-12-22T02:56:22Z |
| format | Article |
| id | doaj.art-2da50dc056f14704a75e89904b1b4d95 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-22T02:56:22Z |
| publishDate | 2014-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-2da50dc056f14704a75e89904b1b4d952022-12-21T18:41:16ZengElsevierAlexandria Engineering Journal1110-01682014-12-0153491191510.1016/j.aej.2014.09.004Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration methodBirol İbiş0Mustafa Bayram1Department of Basic Sciences, Turkish Air Force Academy, Istanbul, TurkeyYıldız Technical University, Faculty of Chem-Met., Department of Math. Eng., Istanbul, TurkeyThe purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornberg–Whitham, equation involving Jumarie’s modified Riemann–Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides the solution in the form of a convergent series with easily calculable terms. The obtained approximate solutions are compared with the exact or existing numerical results in the literature to verify the applicability, efficiency and accuracy of the method.http://www.sciencedirect.com/science/article/pii/S1110016814000945Fractional variational iteration method (FVIM)Time-fractional Fornberg–Whitham equationJumarie’s modified Riemann–Liouville derivative |
| spellingShingle | Birol İbiş Mustafa Bayram Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method Alexandria Engineering Journal Fractional variational iteration method (FVIM) Time-fractional Fornberg–Whitham equation Jumarie’s modified Riemann–Liouville derivative |
| title | Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method |
| title_full | Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method |
| title_fullStr | Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method |
| title_full_unstemmed | Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method |
| title_short | Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method |
| title_sort | analytical approximate solution of time fractional fornberg whitham equation by the fractional variational iteration method |
| topic | Fractional variational iteration method (FVIM) Time-fractional Fornberg–Whitham equation Jumarie’s modified Riemann–Liouville derivative |
| url | http://www.sciencedirect.com/science/article/pii/S1110016814000945 |
| work_keys_str_mv | AT birolibis analyticalapproximatesolutionoftimefractionalfornbergwhithamequationbythefractionalvariationaliterationmethod AT mustafabayram analyticalapproximatesolutionoftimefractionalfornbergwhithamequationbythefractionalvariationaliterationmethod |