A novel method for establishing solutions to non-linear ordinary differential equations

The paper presents a novel method that allows one to establish solutions of some non-linear ordinary differential equations, which contain products of the unknown functions and/or its derivatives. This method can be especially useful when one needs to address the problem of the solution existence fo...

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Bibliographic Details
Main Authors: Horak, Vladimir, Kulish, Vladimir
Other Authors: School of Mechanical and Aerospace Engineering
Format: Conference or Workshop Item
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/87053
http://hdl.handle.net/10220/44302
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Institution: Nanyang Technological University
Language: English
Description
Summary:The paper presents a novel method that allows one to establish solutions of some non-linear ordinary differential equations, which contain products of the unknown functions and/or its derivatives. This method can be especially useful when one needs to address the problem of the solution existence for such equations. In particular, the method was used in this work for illustrative purposes, to find some solutions to the Blasius equation.