Merdan, Mehmet

In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equa tion systems such as a three-species food chain model. The proposed scheme is based on homotopy perturbation method (HPM), Laplace transform and Padé approximants. Some plots are presented to show the reliability and simplicity of the methods.

Merdan, Mehmet

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.