The problem of prey and predator is solved by the differential transformation method (DTM). Numerical comparisons with Adomian decomposition method (ADM) and power series method are presented.

This work combines a ZZ transformation with the Adomian decomposition method to solve fractional-order Fokker-Planck equations. The fractional derivative is represented in Atangana-Baleanu derivative. It looked at graphs that show accurate and estimated results are close each other, indicating works. Fractional-order solutions most line dynamics of targeted problems, they provide an endless num...

At present, three numerical solution methods have mainly been used to solve fractional-order chaotic systems in the literature: frequency domain approximation, predictor–corrector approach and Adomian decomposition method (ADM). Based on literature, ADM is capable of dealing with linear nonlinear problems a time domain. Also, (ADM) among efficient approaches for solving non-linear equations. Nu...

Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The results obtained by LADM are compared with those obtained by standard and modified Adomian Decomposition Methods. The behavior of the numerica...

The differential equation is an that involves the derivative (derivatives) of dependent variable with respect to independent (variables). represents nothing but a rate change, and helps us present relationship between changing quantity change in another quantity. Adomian decomposition method one iterative methods can be used solve equations, both integer fractional order, linear or nonlinear, o...