Open AccessAn algorithm for the approximate solution of nonlinear total time fractional-order Burger equation
Author(s) -
A. Neamaty,
Bahram Agheli,
Rahmat Darzi
Publication year - 2015
Publication title -
qscience connect
Language(s) - English
Resource type - Journals
ISSN - 2223-506X
DOI - 10.5339/connect.2015.5
Subject(s) - nonlinear system , fractional calculus , burgers' equation , mathematics , maple , differential equation , order (exchange) , mathematical analysis , physics , botany , finance , quantum mechanics , economics , biology
In this paper we have established the simplest equation method to find approximate solutions for total Burgurs equations with time fractional derivative. This method is effective in finding approximate traveling wave solutions of nonlinear, fractional evolution equations (NLEEs) in mathematical physics. The effectiveness of this manageable method has been shown by applying it to several examples in time fractional Burgers equations. The present approach has the potential to apply to other nonlinear fractional differential equations. All numerical calculations in the present study have been performed on a PC, applying programs written in Mathematica and Maple .