Analytical solution of the Hunter-Saxton equation using the reduced dierential transform method

Subject Areas : Applied Mathematics

H. Rouhparvar ^{1 *}

1 - Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran

Received: 2015-07-19 Accepted : 2015-10-27 Published : 2016-12-01

Keywords: Reduced differential transform method, Hunter-Saxton, equation, Taylor series,

Abstract :

In this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the Hunter-Saxton equation. The main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. It is a semi analytical-numerical method that formulizes Taylor series in a very dierent manner.The numerical results denote that reduced dierential transform method isecient and accurate for Hunter-Saxton equation.