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

Radosław Grzymkowski; Mariusz Pleszczyński

doi:10.1007/978-3-319-99972-2_31

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

Radosław Grzymkowski
, Mariusz Pleszczyński

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Citations (Scopus)

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.

Original language	English
Title of host publication	Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings
Editors	Robertas Damasevicius, Giedre Vasiljeviene
Publisher	Springer Verlag
Pages	379-387
Number of pages	9
ISBN (Print)	9783319999715
DOIs	https://doi.org/10.1007/978-3-319-99972-2_31
Publication status	Published - 2018
Event	24th International Conference on Information and Software Technologies, ICIST 2018 - Vilnius, Lithuania Duration: 4 Oct 2018 → 6 Oct 2018

Publication series

Name	Communications in Computer and Information Science
Volume	920
ISSN (Print)	1865-0929

Conference

Conference	24th International Conference on Information and Software Technologies, ICIST 2018
Country/Territory	Lithuania
City	Vilnius
Period	4/10/18 → 6/10/18

Keywords

System of ordinary differential equations
Taylor transformation

ASJC Scopus subject areas

General Computer Science
General Mathematics

Access to Document

10.1007/978-3-319-99972-2_31

Cite this

Grzymkowski, R., & Pleszczyński, M. (2018). Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. In R. Damasevicius, & G. Vasiljeviene (Eds.), Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings (pp. 379-387). (Communications in Computer and Information Science; Vol. 920). Springer Verlag. https://doi.org/10.1007/978-3-319-99972-2_31

Grzymkowski, Radosław ; Pleszczyński, Mariusz. / Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings. editor / Robertas Damasevicius ; Giedre Vasiljeviene. Springer Verlag, 2018. pp. 379-387 (Communications in Computer and Information Science).

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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.",

keywords = "System of ordinary differential equations, Taylor transformation",

author = "Rados{\l}aw Grzymkowski and Mariusz Pleszczy{\'n}ski",

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Grzymkowski, R & Pleszczyński, M 2018, Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. in R Damasevicius & G Vasiljeviene (eds), Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings. Communications in Computer and Information Science, vol. 920, Springer Verlag, pp. 379-387, 24th International Conference on Information and Software Technologies, ICIST 2018, Vilnius, Lithuania, 4/10/18. https://doi.org/10.1007/978-3-319-99972-2_31

Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. / Grzymkowski, Radosław; Pleszczyński, Mariusz.
Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings. ed. / Robertas Damasevicius; Giedre Vasiljeviene. Springer Verlag, 2018. p. 379-387 (Communications in Computer and Information Science; Vol. 920).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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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Grzymkowski R, Pleszczyński M. Application of the Taylor Transformation to the Systems of Ordinary Differential Equations. In Damasevicius R, Vasiljeviene G, editors, Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings. Springer Verlag. 2018. p. 379-387. (Communications in Computer and Information Science). doi: 10.1007/978-3-319-99972-2_31

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

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