Cárdenas, P. and Arboleda, A. (2012) Resolución de ecuaciones diferenciales no lineales por el método de transformación diferencial. Universidad Tecnológica de Pereira, Colombia. Tesis de Maestría en Matemáticas.

has been cited by the following article:

• 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.