A Boundary-layer Flow with an Infinite Number of Solutions

Shijun Liao ()
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Shijun Liao: Shanghai Jiao Tong University

Chapter Chapter 10 in Homotopy Analysis Method in Nonlinear Differential Equations, 2012, pp 363-381 from Springer

Abstract: 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.

Keywords: Initial Guess; Computer Algebra System; Decay Solution; Auxiliary Linear Operator; Obtain Series Solution (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-25132-0_10

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