Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method. (22nd January 2014)

• Record Type: Journal Article
• Authors: İbiş, Birol; Bayram, Mustafa
• Other Names: Atangana A. Academic Editor.; El-Sayed A. M. A. Academic Editor.; Kılıçman A. Academic Editor.; Noutchie S. C. O. Academic Editor.; Ray S. S. Academic Editor.; Secer A. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-01-22
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/769713
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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.