International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2018 (2018), Article ID 7692849, 10 pages.
Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow
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.
Int. J. Differ. Equ., Volume 2018 (2018), Article ID 7692849, 10 pages.
Received: 28 March 2018
Accepted: 3 June 2018
First available in Project Euclid: 19 September 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Arafa, Anas; Elmahdy, Ghada. Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow. Int. J. Differ. Equ. 2018 (2018), Article ID 7692849, 10 pages. doi:10.1155/2018/7692849. https://projecteuclid.org/euclid.ijde/1537322436