"Numerical Solutions of the Fractional Advection- Dispersion Equation" by Hossein Jafari and Haleh Tajadodi

Progress in Fractional Differentiation & Applications

Article Title

Numerical Solutions of the Fractional Advection- Dispersion Equation

Authors

Hossein Jafari, Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA 0003, South Africa\\ Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, IranFollow
Haleh Tajadodi

Author Country (or Countries)

Iran

Abstract

In this paper we have used the homotopy analysis method (HAM) to obtain solution of space-time fractional advectiondispersion equation. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented. The obtained results using homotopy analysis method demonstrate the reliability and efficiency of the proposed algorithm.

Suggested Reviewers

N/A

Recommended Citation

Jafari, Hossein and Tajadodi, Haleh (2015) "Numerical Solutions of the Fractional Advection- Dispersion Equation," Progress in Fractional Differentiation & Applications: Vol. 1: Iss. 1, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol1/iss1/4

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