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Journal of Hydrodynamics

, Volume 18, Issue 1, pp 54–56 | Cite as

Finding multiple solutions of nonlinear problems by means of the homotopy analysis method

Session A1

Abstract

Using the boundary layer flows over a permeable plate as an example, we show that the homotopy analysis method (HAM) can be applied to give series solutions of all branches of multiple solutions, even if these multiple solutions are very close and thus rather difficult to distinct even by numerical techniques. A new branch of solutions is found, which has never been reported. This indicates that the homotopy analysis method is a powerful tool for strongly nonlinear problems, especially for those having multiple solutions.

Key words

multiple solutions nonlinear HAM 

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Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  1. 1.School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiChina

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