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In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are appl...
In this paper, we apply the modified Adomian Decomposition Method to get the numerical solutions of Quadratic integral equations. The appearance of noise terms in Decomposition Method was investigated...
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
In this paper we apply restarted Adomian decomposition method, based on standard Adomian method for solving system of nonlinear algebraic equations. Illustrative examples have been presented, to demon...
In this paper, we present a symbolic algorithm for solving a class of nth order linear or nonlinear ordinary differential equations with initial conditions. This algorithm is based on Laplace Adomian ...
The objective of this paper is to solve the equation of motion of semilunar heart valve vibrations. The vibrations of the closed semilunar valves were modeled with a Caputo fractional derivative of or...
On the solution of Abel differential equation by Adomian decomposition method.
In this paper, the Adomian decomposition method and the regular perturbation method are used to study the Duffing-van der Pol equation. The two series solutions obtained by each method are compared.
In this paper, the Adomian decomposition method for solving the linear and nonlinear parabolic equations is implemented with appropriate initial conditions. In comparison with existing techniques, the...
2002Vol.38No.6pp.649-652DOI: Adomian Decomposition Method and Exact Solutions of the Perturbed KdV Equation WU Bin1 and LOU Sen-Yue1,2 1 Department of Physics, Shanghai ...

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