Applications of differential transformation method to solve systems of ordinary and partial differential equations

Abstract

In this study, the numerical solutions of some systems of ordinary and partial differential equations have been analyzed by using the Differential Transformation Method (DTM) and compared with solutions of other numerical methods .This method can be used to solve some ordinary and partial differential equations in a short time by using very simple computer commands and codes. First chapter, the basic definition of its Differential Transformation Method and properties are given. In the last chapter, examples are solved by using the differential transformation method and are compared with other solutions of numerical methods.