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

A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential equations (FPDEs). The new method is a combination of two well-established mathematical methods, namely, the homotopy pertur...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2013, Vol.2013 (2013), p.121-128
Main Authors: Karbalaie, Abdolamir, Hamid Muhammed, Hamed, Erlandsson, Bjorn-Erik
Format: Article
Language:English
Subjects:
Differential equations, Nonlinear
Differential equations, Partial
Homo-Separation of Variables
Homotopy theory
Mathematical research
Perturbation (Mathematics)
SRA - ICT
SRA - Informations- och kommunikationsteknik
Variables (Mathematics)
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Summary:A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential equations (FPDEs). The new method is a combination of two well-established mathematical methods, namely, the homotopy perturbation method (HPM) and the separation of variables method. When compared to existing analytical and numerical methods, the method resulting from our approach shows that it is capable of simplifying the target problem at hand and reducing the computational load that is required to solve it, considerably. The efficiency and usefulness of this new general-purpose method is verified by several examples, where different systems of linear and nonlinear FPDEs are solved.
ISSN:0161-1712
1687-0425
1687-0425
DOI:10.1155/2013/421378