New approximate analytical solutions of the Falkner-Skan equation
type: Item
instance of: scholarly article
title: New approximate analytical solutions of the Falkner-Skan equation
zbMATH Open document ID: 1251.65149
DOI: 10.1155/2012/170802
author: B. I. Yun
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 6106128
zbMATH Keywords: iterative method
zbMATH Keywords: Falkner-Skan equation
Wikidata QID: Q58905808
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/170802
OpenAlex ID: W2131793099
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description: scientific article; zbMATH DE number 6106128