%0 Journal Article
%T The Zhou¡¯s Method for Solving the Euler Equidimensional Equation
%A Pedro Pablo C¨¢rdenas Alzate
%A Jhon Jairo Le¨®n Salazar
%A Carlos Alberto Rodr¨ªguez Varela
%J Applied Mathematics
%P 2165-2173
%@ 2152-7393
%D 2016
%I Scientific Research Publishing
%R 10.4236/am.2016.717172
%X 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.
%K Zhou¡¯s Method
%K Equidimensional Equation
%K Euler Equation
%K DTM
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=72080