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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 1(18), Pages 122–132
DOI: https://doi.org/10.14498/vsgtu671 (Mi vsgtu671) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modeling

Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions

E. V. Stefanyuk, I. V. Kudinov, E. V. Largina

Samara State Technical University. Dept. of the Theoretical Basics of Heattechnics and Hydromechanics
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DOI: https://doi.org/10.14498/vsgtu671
Abstract: Procedure of obtaining of the approximated analytical solutions for nonlinear ordinary differential equations of the first order is developed based on application of additional boundary conditions. The physical value of application of additional boundary conditions is found in solving the initial differential equation in the boundary points of a problem. Application of iterative method allows to solve this equation in the whole range of independent variable meanings and to receive analytical solutions of satisfactory accuracy by averaging the required unknown factors.
Keywords: nonlinear equations, additional boundary conditions, approximated analytical solutions.
Original article submitted 28/I/2009
revision submitted – 03/III/2009
Bibliographic databases:
Document Type: Article
UDC: 536.2(075)
MSC: 80A17, 80M25
Language: Russian
Citation: E. V. Stefanyuk, I. V. Kudinov, E. V. Largina, “Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(18) (2009), 122–132
Citation in format AMSBIB
\Bibitem{SteKudLar09}
\by E.~V.~Stefanyuk, I.~V.~Kudinov, E.~V.~Largina
\paper Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 1(18)
\pages 122--132
\mathnet{http://mi.mathnet.ru/vsgtu671}
\crossref{https://doi.org/10.14498/vsgtu671}
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  • https://www.mathnet.ru/eng/vsgtu/v118/p122
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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