Title of article
Approximate analytical solutions of systems of PDEs by homotopy analysis method
Author/Authors
A. Sami Bataineh، نويسنده , , M.S.M. Noorani، نويسنده , , I. Hashim، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
11
From page
2913
To page
2923
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.
Keywords
Homotopy analysis method , Systems of PDEs , Nonlinear systems , Variational iteration method , Adomian decomposition method
Journal title
Computers and Mathematics with Applications
Serial Year
2008
Journal title
Computers and Mathematics with Applications
Record number
920882
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