Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (344 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu671
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:444
    Full-text PDF :218
    References:48
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024