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Analytical Approach to Time-Fractional Partial Differential Equations in Fluid Mechanics

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Abstract:

The generalized differential transform method is implemented for solving time-fractional partial differential equations in fluid mechanics. This method is based on the two-dimensional differential transform method (DTM) and generalized Taylor’s formula. Results obtained by using the scheme presented here agree well with the numerical results presented elsewhere. The results reveal the method is feasible and convenient for handling approximate solutions of time-fractional partial differential equations.

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Periodical:

Advanced Materials Research (Volumes 347-353)

Pages:

463-466

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.347-353.463

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Online since:

October 2011

Authors:

Xue Hui Chen, Liang Wei, Lian Cun Zheng, Xin Xin Zhang

Keywords:

Differential Transform Method, Generalized Taylor’s Formula, Time-Fractional Partial Differential Equation

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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