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
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.
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
\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:
Eremin A.V., Kudinov V.A., Stefanyuk E.V., “Heat Exchange in a Cylindrical Channel With Stabilized Laminar Fluid Flow”, Fluid Dyn., 53:1 (2018), S29–S39
A. V. Eremin, I. V. Kudinov, L. S. Abisheva, V. V. Zhukov, “Issledovanie teploobmena pri techenii zhidkosti v tsilindricheskom kanale”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Seriya: Tekhnicheskie nauki, 2015, no. 4, 85–92
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