Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method


Ibis B., Bayram M.

SCIENTIFIC WORLD JOURNAL, 2014 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/769713
  • Dergi Adı: SCIENTIFIC WORLD JOURNAL

Özet

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.