A new application of modified differential transformation method for modelling the pollution of a system of lakes

Abstract

In this papers, a new application of modified differential transformation method (MDTM) is implemented to solve analytically systems of nonlinear ordinary differential equations such as modelling the pollution of a system of lakes. The proposed scheme is based on differential transformation method (DTM), Laplace transform and Padé approximants. The results to get the differential transformation method (DTM) are applied Padé approximants. Our proposed approach showed results to analytical solutions of nonlinear ordinary differential equation systems. The results are compared with the results obtained by MATLAB ode23s and the differential transformation method (DTM) are applied Padé approximants. At the end, these solutions are illustrated by tables and figures.