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Adomian decomposition method (ADM) for nonlinear wave-like equations with variable coefficient
Adomian decomposition wave-like equation variable coefficient
2010/9/27
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...
Restarted Adomian decomposition method to systems of nonlinear algebraic equations
Adomian decomposition method Restarted Adomian method
2010/9/13
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...
An algorithm for solving initial value problems using Laplace Adomian decomposition method
Laplace Adomian decomposition method Initial value problems Symbolic computation
2010/9/14
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 ...
Application of Adomian decomposition method to study heart valve vibrations
Fractional derivative Semilunar heart valve vibrations
2010/9/15
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...
New approach to mixture of the Adomian decomposition and homotopy perturbation method for approximate and analytical solution of integral equations and fractional differential equations
Homotopy perturbation method Adomian Decomposition method
2010/9/17
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
Variational iteration and Adomian decomposition methods for solving Kawahara and modified Kawahara equations
Kawahara equation Modified Kawahara equation
2010/9/14
This paper applies variational iteration method (VIM) and Adomian decomposition method (ADM) for finding analytical approximation traveling wave solutions to the Kawahara and modified Kawahara equatio...
On the solution of Abel differential equation by Adomian decomposition method
Abel differential equation Adomian decomposition
2010/9/14
On the solution of Abel differential equation by Adomian decomposition method.
Adomian decomposition method for approximating the solution of the parabolic equations
Adomian decomposition method parabolic equations
2010/9/15
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...