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...

In this paper, the restarted Adomian decomposition method (RADM) is presented to establish an accurate approximate analytical solutions for Duffingvan der Pol (DVP) differential equation. The Lindsted’s method (LM) is used to compare the solutions of the RADM with those obtained using the Adomian decomposition method (ADM). The numerical results show that the RADM in identical conditions gives ...

This work investigates a mathematical fractional-order model that depicts the Caputo growth of new coronavirus (COVID-19). We studied existence and uniqueness linked solution using fixed point theory method. Using Laplace Adomian decomposition method (LADM), we explored precise our obtained results are stated in terms infinite series. Numerical data were then used to demonstrate use derivative ...

This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported this scheme with precise accuracy and the error measure stunningly low. surface plots, density plots exhibited for different parameter choices. simulations almost an exact replica of such that analytically arise from governing system. suggested ...

This work aims at a new semi-analytical technique called the Adomian decomposition method for analysis of time-fractional Emden–Fowler equations. The Laplace transformation and iterative are implemented to obtain result given models. suggested has edge over other methods, as it does not need extra materials calculations. presented validity is demonstrated by examining four mathematical Due stra...

a new modified adomian decomposition method (adm) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes. the nanoactuators in electrolytes are subject to different nonlinear forces including ionic concentration, van der waals, external voltage and electrochemical forces. the duan–rach modified adomian decomposition method is ut...

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 ...

The fractional generalization of the Ambartsumian delay equation with Caputo’s derivative is considered. very difficult to be solved neither in case ordinary derivatives nor derivatives. In this paper we combine Laplace transform Adomian decomposition method solve studied equation. exact solution obtained as a series which terms are expressed by Mittag-Leffler functions. advantage present appro...