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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, 2008, Issue 2(17), Pages 60–65
DOI: https://doi.org/10.14498/vsgtu646 (Mi vsgtu646) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Differential Equations

Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series

V. P. Radchenko, A. A. Usov

Samara State Technical University
Full-text PDF (164 kB) Citations (13)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu646
Abstract: The modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are quoted.
Keywords: ordinary differential equations, grid method, Taylor development, closeness, measure of inaccuracy.
Original article submitted 12/IX/2008
revision submitted – 30/X/2008
Bibliographic databases:
Document Type: Article
UDC: 517.927+519.624
MSC: 34B99
Language: Russian
Citation: V. P. Radchenko, A. A. Usov, “Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 60–65
Citation in format AMSBIB
\Bibitem{RadUso08}
\by V.~P.~Radchenko, A.~A.~Usov
\paper Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 60--65
\mathnet{http://mi.mathnet.ru/vsgtu646}
\crossref{https://doi.org/10.14498/vsgtu646}
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  • https://www.mathnet.ru/eng/vsgtu/v117/p60
    • This publication is cited in the following 13 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
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    Full-text PDF :307
    References:93
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