Application of Residual Power Series Method to Fractional Coupled Physical Equations Arising in Fluids Flow
| Autor: | Ghada Elmahdy, A. A. M. Arafa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Power series
Article Subject Applied Mathematics lcsh:Mathematics 010103 numerical & computational mathematics Sense (electronics) Residual lcsh:QA1-939 01 natural sciences 010305 fluids & plasmas Fractional calculus Power (physics) Flow (mathematics) 0103 physical sciences Applied mathematics 0101 mathematics Homotopy perturbation method Analysis Reliability (statistics) Mathematics |
| Zdroj: | International Journal of Differential Equations, Vol 2018 (2018) Int. J. Differ. Equ. |
| ISSN: | 1687-9651 1687-9643 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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