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The ADM has been introduced in and has been applied to a wide class of deterministic and stochastic problems of mathematical and physical sciences. This method provides the solution as a rapidly convergent series with components that are elegantly computed. This method can be used to solve all types of linear and nonlinear equations such as differential and integral equations, so it is known as a powerful method. Another important advantage of this method is that it can reduce the size of computations, while increases the accuracy of the approximate solutions so it is known as a powerful method
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