Loading…

New Approximate Analytical Solutions of the Falkner-Skan Equation

We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the exi...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.921-932-060
Main Author: Yun, Beong In
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/170802