IJPAM: Volume 80, No. 5 (2012)
JACOBI ELLIPTIC NUMERICAL SOLUTIONS FOR
THE TIME FRACTIONAL DISPERSIVE
LONGWAVE EQUATION
THE TIME FRACTIONAL DISPERSIVE
LONGWAVE EQUATION
Mohamed S. Mohamed
, Faisal Al-Malki
, Rabeaa Talib
Mathematics Department
Faculty of Science
Taif University
Hawia, 888 Taif, SAUDI ARABIA
Mathematics Department
Faculty of Science
Al-Azhar University
Nasr City, 11884, Cairo, EGYPT




Faculty of Science
Taif University
Hawia, 888 Taif, SAUDI ARABIA

Faculty of Science
Al-Azhar University
Nasr City, 11884, Cairo, EGYPT
Abstract. The fractional derivatives in the sense of Caputo, and the homotopy analysis method (HAM) are used to construct the approximate solutions for nonlinear fractional dispersive long wave equation with reaspect to time fractional derivative. The HAM contains a certain auxiliary parameter which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution.
Received: May 27, 2012
AMS Subject Classification: homotopy analysis method, Caputo's fractional derivative, fractional dispersive long wave equation
Key Words and Phrases: 14F35, 26A33
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5