Application of residual power series method to fractional coupled physical equations arising in fluids flow
type: Item
instance of: scholarly article
title: Application of residual power series method to fractional coupled physical equations arising in fluids flow
zbMATH Open document ID: 1487.35392
DOI: 10.1155/2018/7692849
author: Ghada Elmahdy
author: A. A. M. Arafa
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6915961
zbMATH Keywords: approximate analytical solution
zbMATH Keywords: fractional Cahn-Hilliard and Gardner equations
zbMATH Keywords: residual power series method
describes a project that uses: RATH
describes a project that uses: PDESpecialSolutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7692849
OpenAlex ID: W2811043253
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Wikidata QID: Q129565545
description: scientific article; zbMATH DE number 6915961