Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method
SCIENTIFIC WORLD JOURNAL, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2014
- Doi Number: 10.1155/2014/769713
- Journal Name: SCIENTIFIC WORLD JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
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.