Journal of Applied Mathematics

New Approximate Analytical Solutions of the Falkner-Skan Equation

Beong In Yun

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 170802, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495200

Digital Object Identifier
doi:10.1155/2012/170802

Mathematical Reviews number (MathSciNet)
MR2948131

Zentralblatt MATH identifier
1251.65149

Citation

Yun, Beong In. New Approximate Analytical Solutions of the Falkner-Skan Equation. J. Appl. Math. 2012 (2012), Article ID 170802, 12 pages. doi:10.1155/2012/170802. https://projecteuclid.org/euclid.jam/1355495200


Export citation