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Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations

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Publication Details

Author list: Karbalaie, Abdolamir

Publisher: Hindawi Publishing Corporation

Publication year: 2013

Start page: 8

ISSN: 0161-1712

DOI: http://dx.doi.org/10.1155/2013/421378

URL: https://doi.org/10.1155/2013/421378;http://www.hindawi.com/journals/ijmms/2013/421378/abs/


Abstract

A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems oflinear and nonlinear fractional partial differential equations (FPDEs). The new method is a combination of two well-establishedmathematical methods, namely, the homotopy perturbation method (HPM) and the separation of variables method. Whencompared to existing analytical and numerical methods, the method resulting from our approach shows that it is capable ofsimplifying the target problem at hand and reducing the computational load that is required to solve it, considerably.The efficiencyand usefulness of this new general-purposemethod is verified by several examples, where different systems of linear and nonlinearFPDEs are solved.


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