Author(s)

Pedro Pablo Cárdenas Alzate¹, Jhon Jairo León Salazar², Carlos Alberto Rodríguez Varela²

¹Department of Mathematics and GEDNOL, Universidad Tecnológica de Pereira, Pereira, Colombia.
²Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia.

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.

Zhou’s Method, Equidimensional Equation, Euler Equation, DTM

Alzate, P. , Salazar, J. and Varela, C. (2016) The Zhou’s Method for Solving the Euler Equidimensional Equation. Applied Mathematics, 7, 2165-2173. doi: 10.4236/am.2016.717172.