Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a converg...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/769713 |
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| _version_ | 1849407296626491392 |
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| author | Birol İbiş Mustafa Bayram |
| author_facet | Birol İbiş Mustafa Bayram |
| author_sort | Birol İbiş |
| collection | DOAJ |
| description | This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs. |
| format | Article |
| id | doaj-art-47eed96c3eaa4fcdb2c35bf607172dc2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-47eed96c3eaa4fcdb2c35bf607172dc22025-08-20T03:36:07ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/769713769713Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration MethodBirol İbiş0Mustafa Bayram1Department of Basic Sciences, Turkish Air Force Academy, Istanbul, TurkeyDepartment of Mathematical Engineering, Faculty of Chemical and Metallurgical Engineering, Yıldız Technical University, Istanbul, TurkeyThis paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs.http://dx.doi.org/10.1155/2014/769713 |
| spellingShingle | Birol İbiş Mustafa Bayram Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method The Scientific World Journal |
| title | Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method |
| title_full | Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method |
| title_fullStr | Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method |
| title_full_unstemmed | Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method |
| title_short | Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method |
| title_sort | approximate solution of time fractional advection dispersion equation via fractional variational iteration method |
| url | http://dx.doi.org/10.1155/2014/769713 |
| work_keys_str_mv | AT birolibis approximatesolutionoftimefractionaladvectiondispersionequationviafractionalvariationaliterationmethod AT mustafabayram approximatesolutionoftimefractionaladvectiondispersionequationviafractionalvariationaliterationmethod |