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

Document Type: Research Articles

Author

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

Abstract

In this paper, the reduced di erential transform method is investigated for
a nonlinear partial di erential 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 di erential equations without
requiring linearization, discretization, or perturbation. It is a semi analytical-
numerical method that formulizes Taylor series in a very di erent manner.
The numerical results denote that reduced di erential transform method is
ecient and accurate for Hunter-Saxton equation.

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