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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Main Authors:	Horak, Vladimir, Kulish, Vladimir
Other Authors:	School of Mechanical and Aerospace Engineering
Format:	Conference or Workshop Item
Language:	English
Published:	2018
Subjects:	Ordinary Differential Equations Nonlinear Differential Equations
Online Access:	https://hdl.handle.net/10356/87053 http://hdl.handle.net/10220/44302
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-87053
record_format	dspace
spelling	sg-ntu-dr.10356-870532023-03-04T17:08:01Z A novel method for establishing solutions to non-linear ordinary differential equations Horak, Vladimir Kulish, Vladimir School of Mechanical and Aerospace Engineering AIP Conference Proceedings Ordinary Differential Equations Nonlinear 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 for such equations. In particular, the method was used in this work for illustrative purposes, to find some solutions to the Blasius equation. MOE (Min. of Education, S’pore) Published version 2018-01-10T06:10:01Z 2019-12-06T16:34:06Z 2018-01-10T06:10:01Z 2019-12-06T16:34:06Z 2014 Conference Paper Horak, V., & Kulish, V. (2014). A novel method for establishing solutions to non-linear ordinary differential equations. AIP Conference Proceedings, 1637(1), 536-539. https://hdl.handle.net/10356/87053 http://hdl.handle.net/10220/44302 10.1063/1.4904621 en © 2014 AIP Publishing. This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of AIP Publishing. The published version is available at: [http://dx.doi.org/10.1063/1.4904621]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 4 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Ordinary Differential Equations Nonlinear Differential Equations
spellingShingle	Ordinary Differential Equations Nonlinear Differential Equations Horak, Vladimir Kulish, Vladimir A novel method for establishing solutions to non-linear ordinary differential equations
description	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.
author2	School of Mechanical and Aerospace Engineering
author_facet	School of Mechanical and Aerospace Engineering Horak, Vladimir Kulish, Vladimir
format	Conference or Workshop Item
author	Horak, Vladimir Kulish, Vladimir
author_sort	Horak, Vladimir
title	A novel method for establishing solutions to non-linear ordinary differential equations
title_short	A novel method for establishing solutions to non-linear ordinary differential equations
title_full	A novel method for establishing solutions to non-linear ordinary differential equations
title_fullStr	A novel method for establishing solutions to non-linear ordinary differential equations
title_full_unstemmed	A novel method for establishing solutions to non-linear ordinary differential equations
title_sort	novel method for establishing solutions to non-linear ordinary differential equations
publishDate	2018
url	https://hdl.handle.net/10356/87053 http://hdl.handle.net/10220/44302
_version_	1759857228026740736

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

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