TITLE:
The Zhou’s Method for Solving the Euler Equidimensional Equation
AUTHORS:
Pedro Pablo Cárdenas Alzate, Jhon Jairo León Salazar, Carlos Alberto Rodríguez Varela
KEYWORDS:
Zhou’s Method, Equidimensional Equation, Euler Equation, DTM
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.17,
November
17,
2016
ABSTRACT: In this work, we apply the Zhou’s method
[1] or differential transformation method (DTM) for solving the Euler
equidimensional equation. The Zhou’s method may be considered as alternative
and efficient for finding the approximate solutions of initial values problems.
We prove superiority of this method by applying them on the some Euler type
equation, in this case of order 2 and 3 [2]. The power series solution of the
reduced equation transforms into an approximate implicit solution of the
original equations. The results agreed with the exact solution obtained via
transformation to a constant coefficient equation.