analytical solution of the hunter-saxton equation using the reduced di erential transform method

نویسندگان

h. rouhparvar

department of mathematics, college of technical and engineering, saveh branch, islamic azad university, saveh, iran

چکیده

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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