You are here

ANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR SPACE-TIME FRACTIONAL CAHN-HILLIARD EQUATION

TitleANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR SPACE-TIME FRACTIONAL CAHN-HILLIARD EQUATION
Publication TypeJournal Article
Year of Publication2014
AuthorsMohamed, MS, Mekheimer, KS
JournalInternational Electronic Journal of Pure and Applied Mathematic
Volume7
Issue4
Start Page145
Date Published05/2014
ISSN1314-0744
KeywordsCahn-Hilliard equation, Caputo fractional derivative, homotopy analysis method, space-time fractional derivatives
Abstract

The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Cahn-Hilliard equation. The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives Cahn-Hilliard equation. This method introduces a promising tool for solving many space-time fractional partial differential equations. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equat. The HAM contains a certain auxiliary parameter $h$ which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. 

URLhttp://www.e.ijpam.eu/contents/articles/201400704001.pdf
DOI10.12732/iejpam.v7i4.1
Short TitleANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR...
Refereed DesignationRefereed
Download pdf file: