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Lookup NU author(s): Dr Hao Song, Professor Longbin Tao
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The periodic wave solution of a second order nonlinear ordinary differential equation is obtained by the homotopy analysis method, an analytical, totally explicit mathematical technique. By choosing a proper auxiliary parameter, the new series solution converges very fast. The method provides us with a simple way to adjust the convergence region. Furthermore, a significant improvement of the convergence rate and region is achieved by applying Homotopy-Pade approximants. Three examples demonstrate the excellent computation accuracy and efficiency of the present HAM approach. The present method could be extended for more complicated wave equations.
Author(s): Song H, Tao L
Publication type: Article
Publication status: Published
Journal: ANZIAM Journal
Year: 2010
Volume: 51
Pages: C109-C123
Print publication date: 20/04/2010
Date deposited: 16/03/2011
ISSN (electronic): 1446-8735
Publisher: Cambridge University Press
URL: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2434
