Open Access
2014 Revisiting Blasius Flow by Fixed Point Method
Ding Xu, Jinglei Xu, Gongnan Xie
Abstr. Appl. Anal. 2014(SI36): 1-9 (2014). DOI: 10.1155/2014/953151


The well-known Blasius flow is governed by a third-order nonlinear ordinary differential equation with two-point boundary value. Specially, one of the boundary conditions is asymptotically assigned on the first derivative at infinity, which is the main challenge on handling this problem. Through introducing two transformations not only for independent variable bur also for function, the difficulty originated from the semi-infinite interval and asymptotic boundary condition is overcome. The deduced nonlinear differential equation is subsequently investigated with the fixed point method, so the original complex nonlinear equation is replaced by a series of integrable linear equations. Meanwhile, in order to improve the convergence and stability of iteration procedure, a sequence of relaxation factors is introduced in the framework of fixed point method and determined by the steepest descent seeking algorithm in a convenient manner.


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Ding Xu. Jinglei Xu. Gongnan Xie. "Revisiting Blasius Flow by Fixed Point Method." Abstr. Appl. Anal. 2014 (SI36) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07023386
MathSciNet: MR3166670
Digital Object Identifier: 10.1155/2014/953151

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI36 • 2014
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