Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow. (4th July 2018)

• Record Type: Journal Article
• Authors: Arafa, Anas; Elmahdy, Ghada
• Other Names: Rossi Julio D. Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2018(2018)
• Publication Date: 2018-07-04
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2018/7692849
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : 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.