title: Approximate solution of time-fractional advection-dispersion equation via fractional variational iteration method.
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.
authors.affiliation: Department of Basic Sciences, Turkish Air Force Academy, Istanbul, Turkey.
authors.forename: Birol
authors.initials: B
authors.lastname: Ibiş
authors.affiliation: Department of Mathematical Engineering, Faculty of Chemical and Metallurgical Engineering, Yıldız Technical University, Istanbul, Turkey.
authors.forename: Mustafa
authors.identifier: 0000-0002-2994-7201
authors.initials: M
authors.lastname: Bayram
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D009716:Numerical Analysis, Computer-Assisted; D013997:Time Factors