Modifikasi Metode Dekomposisi Adomian untuk Menyelesaikan Persamaan Gelombang Nonlinear

This article discusses the modification of Adomian decomposition method to solve anonlinear wave equation. Some numerical examples are used to show the effectivenessof the method. The numerical result show that the solution obtained through themodification of Adomian decomposition method is better than the solutions obtainedusing Adomian decomposition method

Taylor Series for Adomian Decomposition Method

In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more direct. The difference is essential for instance in case of nonautonomous equations and is illustrated by some examplComment: 9 page

Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs)

The Adomian Decomposition Method with Discretization for Second Order Initial Value Problems

In this paper, Adomian Decomposition Method with Discretization (ADMD) is applied to solve both linear and nonlinear initial value problems (IVP). Comparison with Adomian Decomposition Method (ADM) is presented. To illustrate the efficiency and accuracy of the method, five examples are considered. The result shows that ADMD is more efficient and accurate than ADM