In this investigation, the fractional Fornberg–Whitham equation (FFWE) is solved and analyzed via variational iteration method (VIM) Adomian decomposition (ADM) with help of Aboodh transformation (AT). The FFWE an important model for describing several nonlinear wave propagations in various fields science plasma physics. AT provides a powerful tool transforming fractional-order differential equ...

The present paper proposes a mathematical method to numerically treat class of third-order linear Boundary Value Problems (BVPs). This is based on the combination Adomian Decomposition Method (ADM) and, modified shooting method. A complete derivation proposed has been provided, in addition its numerical implementation validation via utilization Runge-Kutta other existing methods. applied divers...

The Burgers’ equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank – Nicholson, used for solving the one-dimensional Burgers’ equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to...

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

In this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply. 

Our aim in this piece of work is to demonstrate the power of the Laplace Adomian decomposition method (LADM) in approximating the solutions of nonlinear differential equations governing the two-dimensional viscous flow induced by a shrinking sheet. Keywords—Adomian polynomials, Laplace Adomian decomposition method, Padé Approximant, Shrinking sheet.

in this paper, we present a comparative study between the adomian decomposition method and two classical well-known runge-kutta and central difference methods for the solution of damped forced oscillator problem. we show that the adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply.

The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian decomposition method in terms of newly proposed variational iteration method-II (VIM). Through careful investigation of the earlier variational ...

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained using Sinc-collocation method. This approach approximates space dimension with cardinal expansion Sinc functions. First, discretizing time derivative MRLW by classic finite difference formula, while derivatives are approximated θ—weighted scheme. For comparison purposes, we also find soliton Ad...