Publication Details

Taylor series based numerical integration method for solution of nonlinear problems with division

VEIGEND Petr, NEČASOVÁ Gabriela and ŠÁTEK Václav. Taylor series based numerical integration method for solution of nonlinear problems with division. In: 2024 IEEE 17th International Scientific Conference on Informatics Proceedings. Poprad: Institute of Electrical and Electronics Engineers, 2024, pp. 432-437. ISBN 979-8-3503-8766-7.
Type
conference paper
Language
english
Authors
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Abstract

Most methods for solving ordinary differential equations use a limited order to calculate the results. The method presented in this article can use as many terms of the Taylor series as necessary to obtain a stable and accurate solution. The solution using this method (particularly for nonlinear problems) can be quite complex. The aim of this article is to compare several ways of expressing the nonlinear problems of ordinary differential equations and compare these approaches between one another and to the state-of-the-art solvers in MATLAB software.

Published
2024
Pages
432-437
Proceedings
2024 IEEE 17th International Scientific Conference on Informatics Proceedings
Conference
2024 IEEE 17th International Scientific Conference on Informatics, Poprad, SK
ISBN
979-8-3503-8766-7
Publisher
Institute of Electrical and Electronics Engineers
Place
Poprad, SK
BibTeX 
@INPROCEEDINGS{FITPUB13180,
   author = "Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
   title = "Taylor series based numerical integration method for solution of nonlinear problems with division",
   pages = "432--437",
   booktitle = "2024 IEEE 17th International Scientific Conference on Informatics Proceedings",
   year = 2024,
   location = "Poprad, SK",
   publisher = "Institute of Electrical and Electronics Engineers",
   ISBN = "979-8-3503-8766-7",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/13180"
}
Back to top