Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The approximate analytical solution of the fractional Cahn-Hilliard and Gardner equations has been acquired successfully via residual power series method (RPSM).
The approximate solutions obtained by RPSM are compared with the exact solutions as well as the solutions obtained by homotopy perturbation method (HPM) and q-homotopy analysis method (q-HAM).
Numerical results are known through different graphs and tables.
The fractional derivatives are described in the Caputo sense.
The results light the power, efficiency, simplicity, and reliability of the proposed method.
American Psychological Association (APA)
Arafa, A. A. M.& Elmahdy, Ghada. 2018. Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1170814
Modern Language Association (MLA)
Arafa, A. A. M.& Elmahdy, Ghada. Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow. International Journal of Differential Equations No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1170814
American Medical Association (AMA)
Arafa, A. A. M.& Elmahdy, Ghada. Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1170814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170814
