Article ID Journal Published Year Pages File Type
470003 Computers & Mathematics with Applications 2008 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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