Numerical Solutions of Nonlinear Coupled Ordinary Differential Equations using Coded Differential Transform Method

Abstract

Aim of the paper is to obtain numerical solutions of some nonlinear coupled ordinary differential equations (ODEs) using Coded Differential Transform Method (CDTM). The CDTM is combined of programming technique and differential transform method. Convergence criterion is presented. Further, some problems whose exact solution is not known are discussed and their numerical series solutions are compared with Mathematica results and shown graphically. The series solutions are in high agreement with Mathematica results. The CDTM is easy to implement and avoids complex calculations.