Volume no :2, Issue no: 2, November (2009)

ON SERIES EXPANSIONS GIVING CLOSED-FORM SOLUTIONS OF BURGERS-TYPE EQUATIONS

Author's: K. R. Raslan and H. K. Al-Jeaid
Pages: [187] - [197]
Received Date: July 20, 2009
Submitted by:

Abstract

In this letter, we consider the differential transform method (DTM) for finding approximate and exact solutions of some nonlinear equations. This paper presents a reliable algorithm in order to obtain approximate solutions for the nonlinear Burger’s equation and coupled Burger’s equations with initial profile. The results reveal that the proposed method is very effective and simple, and can be applied for other nonlinear problems in mathematical physics.

Keywords

differential transform method, Burger’s equation, coupled Burger’s equation.