"Generalized Differential Transform Method for Solving Liquid-Film Mass" by Hashem Saberi Najaﬁ and Elyas Arsanjani Toroqi

Progress in Fractional Differentiation & Applications

Article Title

Generalized Differential Transform Method for Solving Liquid-Film Mass Transfer Equation of Fractional Order

Authors

Hashem Saberi Najaﬁ, Department of Applied Mathematics Islamic Azad University Lahijan Branch, P.O. Box 1616, Lahijan, Iran
Elyas Arsanjani Toroqi

Author Country (or Countries)

Iran

Abstract

Several methods solve linear fractional partial differential equations. In this paper, it is presented a fractional model of the liquid-ﬁlm mass transfer equation to compare numerical solution between fractional and simple model of the equation. Then the approximate of the generalized differential transform method is compared with the exact solution of the equation in integer orders. Furthermore, the approximates will be obtained in the fractional orders by limiting the intervals of the coefﬁcient and variables. The results show that we can achieve the same result with the proposed fractional model and the method has a high accuracy.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040107

Recommended Citation

Saberi Najaﬁ, Hashem and Arsanjani Toroqi, Elyas (2018) "Generalized Differential Transform Method for Solving Liquid-Film Mass Transfer Equation of Fractional Order," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/040107
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss1/7

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