文章基本信息

标题：A novel method for the solution of Blasius equation in semi-infinite domains
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作者：Ali Akgül
期刊名称：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
印刷版ISSN：2146-5703
出版年度：2017
卷号：7
期号：2
页码：225-233
DOI：10.11121/ijocta.01.2017.00363
语种：English
出版社：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
摘要：Many known methods fail in the attempt to get analytic solutions of Blasius-type equations. In this work, we apply the reproducing kernel method for ivestigating Blasius equations with two different boundary conditions in semi-infinite domains. Convergence analysis of the reproducing kernel method is given. The numerical approximations are presented and compared with some other techniques, Howarth's numerical solution and Runge-Kutta Fehlberg method.
其他摘要：Many known methods fail in the attempt to get analytic solutions of Blasius-type equations. In this work, we apply the reproducing kernel method for ivestigating Blasius equations with two different boundary conditions in semi-infinite domains. Convergence analysis of the reproducing kernel method is given. The numerical approximations are presented and compared with some other techniques, Howarth's numerical solution and Runge-Kutta Fehlberg method.
关键词：Reproducing kernel method; Blasius equations; reproducing kernel functions.