Analytical solution of the Hunter-Saxton equation using the reduced di erential transform method
محورهای موضوعی : Applied Mathematics
1 - Department of Mathematics, College of Technical and Engineering, Saveh
Branch, Islamic Azad University, Saveh, Iran
کلید واژه: Reduced diff erential transform method, Hunter-Saxton, equation, Taylor series,
چکیده مقاله :
In this paper, the reduced di erential transform method is investigated fora nonlinear partial di erential 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 di erential equations withoutrequiring 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 isecient and accurate for Hunter-Saxton equation.
In this paper, the reduced di erential transform method is investigated fora nonlinear partial di erential 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 di erential equations withoutrequiring 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 isecient and accurate for Hunter-Saxton equation.
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