In this paper, the Adomian decomposition method with Green’s function (Standard Adomian and Modified Technique) is applied to solve linear and nonlinear tenth-order boundary value problems with boundary conditions defined at any order derivatives. The numerical results obtained with a small amount of computation are compared with the exact solutions to show the efficiency of the method. The res...

Our main aim in the present work is to study the influence of heat transfer analysis of thin film flows of a third grade fluid in the presence of magneto hydrodynamic (MHD) on a vertical moving belt. The momentum and energy equations are solved analytically by using the Adomian decomposition method (ADM). The results include the velocity profile, average velocity, volume flux and the temperatur...

Due to wide range of interest in use of bioeconomic models to gain insight into the scientific management of renewable resources like fisheries and forestry, homotopy perturbation method is employed to approximate the solution of the ratio-dependent predator-prey system with constant effort prey harvesting. The results are compared with the results obtained by Adomian decomposition method. The ...

In this paper, the Adomian decomposition method (ADM) is presented for finding numerical solution of fractional nonlinear system arising in thermoelasticity. The derivatives are understood in the Caputo sense. The reason of using fractional order differential equations (FOD) is that FOD are naturally related to systems with memory which exists in most biological systems. Also they are closely r...

The most important plastic resins used for wire coating are polyvinyl chloride (PVC), nylon, polysulfone, and low-/high-density polyethylene (LDPE/HDPE). In this article, the coating process is performed using elastic-viscous fluid as a coating material for wire coating in a pressure type coating die. The elastic-viscous fluid is electrically conducted in the presence of an applied magnetic fie...

Chaos and control analysis for the fractional-order nonlinear circuits is a recent hot topic. In this study, model deduced from Buck-Boost converter, its discrete solution obtained based on Adomian decomposition method (ADM). Chaotic dynamic characteristics of system are investigated by bifurcation diagram, 0-1 test, spectral entropy (SE) algorithm, NIST test. Meanwhile, discussed through two d...

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...

In this study, we introduced a novel scheme to attain approximate and closed-form solutions of conformable Newell-Whitehead-Segel (NWS) equations, which belong the most consequential amplitude equations in physics. The Shehu transform (CST) Adomian decomposition method (ADM) are combined proposed method. We call it (CSDM). To assess efficiency consistency recommended method, demonstrate 2D 3D g...

In this paper, a chaotic circuit based on memcapacitor and meminductor is constructed, its dynamic equation obtained. Then, the mathematical model obtained by normalization, system decomposed summed an Adomian decomposition method (ADM) algorithm. So as to study behavior in detail, not only equilibrium stability of analyzed, but also characteristics are analyzed means Bifurcation diagram Lyapun...