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A Boundary-layer Flow with an Infinite Number of Solutions

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Homotopy Analysis Method in Nonlinear Differential Equations

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Abstract

In this chapter, the Mathematica package BVPh (version 1.0) based on the homotopy analysis method (HAM) is used to gain exponentially and algebraically decaying solutions of a nonlinear boundary-value equation in an infinite interval. Especially, an infinite number of algebraically decaying solutions were found for the first time by means of the HAM, which illustrate the originality and validity of the HAM for nonlinear boundary-value problems.

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Authors and Affiliations

  1. Shanghai Jiao Tong University, Shanghai, 200030, China

    Shijun Liao

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  1. Shijun Liao
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© 2012 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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Liao, S. (2012). A Boundary-layer Flow with an Infinite Number of Solutions. In: Homotopy Analysis Method in Nonlinear Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25132-0_10

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