Asymptotic solutions of a nonlinear equation

Chunqing Lu

doi:10.3934/proc.2003.2003.590

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2003, Volume 2003: 590-595. Doi: 10.3934/proc.2003.2003.590 open access

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Asymptotic solutions of a nonlinear equation

Chunqing Lu^1,

1.
Southern Illinois University at Edwardsville, Mathematics and Statistics Box 1635, Edwardsville, IL 62026

Received: August 31, 2002

Published: March 2003

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Abstract

This paper presents rigorous proofs of the asymptotic solutions of a nonlinear ordinary equation, $\epsilon n f^(iv) = (f-2\epsilon) f''' - f' f''$ subject to boundary conditions: $f(0) = 0, f(1) = 1, f'(1) = 0, lim_(n \to 0^+) sqrtn f''(n)=0.$

Keywords:

laminar flow,
asymptotic solutions.

Mathematics Subject Classification: Primary: 34B15.

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