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Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
Joint Authors
Erlandsson, Bjorn-Erik
Karbalaie, Abdolamir
Hamid Muhammed, Hamed
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Karbalaie, Abdolamir& Hamid Muhammed, Hamed& Erlandsson, Bjorn-Erik. 2013. Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-470908
Modern Language Association (MLA)
Karbalaie, Abdolamir…[et al.]. Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-470908
American Medical Association (AMA)
Karbalaie, Abdolamir& Hamid Muhammed, Hamed& Erlandsson, Bjorn-Erik. Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-470908
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470908