Adomian's decomposition method for solving an intermediate fractional advection-dispersion equation

Authors:
A. M. A. El-Sayed;S. H. Behiry;W. E. Raslan
Affiliations:
Mathematics Department, Faculty of Science, Alexandria University, Egypt;Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt;Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

This paper is concerned with a model that describes the intermediate process between advection and dispersion via fractional derivative in the Caputo sense. Adomian's decomposition method is used for solving this model. The solution is obtained as an infinite series which always converges to the exact solution.