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

Theory of Approximation and Applications

مقاله 6، دوره 10، شماره 2، اسفند 2016، صفحه 61-73   

نوع مقاله: Research Articles

نویسنده

H. Rouhparvar^*

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

چکیده

In this paper, the reduced dierential transform method is investigated for
a nonlinear partial dierential equation modeling nematic liquid crystals, it
is called the Hunter-Saxton equation. The main advantage of this method
is that it can be applied directly to nonlinear dierential equations without
requiring 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 is
ecient and accurate for Hunter-Saxton equation.

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