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Application of Adomian Decomposition Method and Variational Iteration Method for the solution of fractional Basset differential equation

Ray S. S.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 4

1163-1167

In this paper, the Adomian decomposition method (ADM) and variational iteration method (VIM) are implemented to obtain an approximate solution for a fractional Basset equation with an arbitrary order […].The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The approximate solution obtained using the VIM is exactly the same and in good agreement to that obtained by using the ADM.