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Revisiting Blasius Flow by Fixed Point Method
Joint Authors
Xu, Jinglei
Xie, Gong-Nan
Xu, Ding
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xu, Ding& Xu, Jinglei& Xie, Gong-Nan. 2014. Revisiting Blasius Flow by Fixed Point Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034130
Modern Language Association (MLA)
Xu, Ding…[et al.]. Revisiting Blasius Flow by Fixed Point Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1034130
American Medical Association (AMA)
Xu, Ding& Xu, Jinglei& Xie, Gong-Nan. Revisiting Blasius Flow by Fixed Point Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034130