Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470003 | Computers & Mathematics with Applications | 2008 | 11 Pages |
Abstract
In this paper, the homotopy analysis method (HAM) is applied to obtain series solutions to linear and nonlinear systems of first- and second-order partial differential equations (PDEs). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of series solutions. It is shown in particular that the solutions obtained by the variational iteration method (VIM) are only special cases of the HAM solutions.
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Computer Science (General)
Authors
A. Sami Bataineh, M.S.M. Noorani, I. Hashim,