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Application of the Taylor Transformation to the Systems of Ordinary Differential Equations

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Information and Software Technologies (ICIST 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 920))

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Abstract

In the paper the Taylor transformation is applied to systems of ordinary differential equations, including nonlinear differential equations. Apart from the description of the method, its computational effectiveness is demonstrated on example. Efficiency of the proposed method is confirmed it with the selected classical methods devoted to problems of considered kind. The present paper is an introduction to some further research in this area, which is very important for a wide range of problems described by means of the systems of ordinary differential equations.

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Authors and Affiliations

  1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland

    Radosław Grzymkowski & Mariusz Pleszczyński

Authors
  1. Radosław Grzymkowski
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  2. Mariusz Pleszczyński
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Correspondence to Mariusz Pleszczyński .

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Editors and Affiliations

  1. Kaunas University of Technology, Kaunas, Lithuania

    Robertas Damaševičius

  2. Kaunas University of Technology, Kaunas, Lithuania

    Giedrė Vasiljevienė

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Grzymkowski, R., Pleszczyński, M. (2018). Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. In: Damaševičius, R., Vasiljevienė, G. (eds) Information and Software Technologies. ICIST 2018. Communications in Computer and Information Science, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-319-99972-2_31

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  • DOI: https://doi.org/10.1007/978-3-319-99972-2_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99971-5

  • Online ISBN: 978-3-319-99972-2

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