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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, 2012, Issue 3(28), Pages 152–162
DOI: https://doi.org/10.14498/vsgtu1071 (Mi vsgtu1071) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Calculus Mathematics

Modification of finite differences method with use of Taylor expansions

G. A. Pavlova, I. V. Belyaeva

Samara State Technical University, Samara, Russia
Full-text PDF (179 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1071
Abstract: The conducted research compares the method of Taylor expansions and the finite difference method. The obtained method of Taylor expansions employs three, four and five series terms. For each modification a finite difference scheme is presented and its stability, convergence, and approximation are analyzed. For both methods the number of arithmetic operations is counted and compared as well as an error. The advantages of the method of Taylor expansions are revealed.
Keywords: ordinary differential equations, boundary value problem, Taylor series, approximation, stability, convergence, finite difference method, method of Taylor expansions, numerical method.
Original article submitted 02/V/2012
revision submitted – 25/VII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.927:519.624
MSC: 34B99
Language: Russian
Citation: G. A. Pavlova, I. V. Belyaeva, “Modification of finite differences method with use of Taylor expansions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 152–162
Citation in format AMSBIB
\Bibitem{PavBel12}
\by G.~A.~Pavlova, I.~V.~Belyaeva
\paper Modification of finite differences method with use of~Taylor expansions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 152--162
\mathnet{http://mi.mathnet.ru/vsgtu1071}
\crossref{https://doi.org/10.14498/vsgtu1071}
\zmath{https://zbmath.org/?q=an:1326.65096}
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  • https://www.mathnet.ru/eng/vsgtu/v128/p152
    • This publication is cited in the following 1 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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