Result Details

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

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. 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, 2025. p. 421-426. ISBN: 979-8-3503-8766-7.
Type
conference paper
Language
English
Authors
Veigend Petr, Ing., Ph.D., DITS (FIT)
Nečasová Gabriela, Ing., Ph.D., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
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.

Keywords

Taylor series method, MATLAB, initial value problems, nonlinear ordinary
differential equations

Published
2025
Pages
421–426
Proceedings
2024 IEEE 17th International Scientific Conference on Informatics Proceedings
Conference
2024 IEEE 17th International Scientific Conference on Informatics
ISBN
979-8-3503-8766-7
Publisher
Institute of Electrical and Electronics Engineers
Place
Poprad
DOI
10.1109/Informatics62280.2024.10900903
UT WoS
001483035700071
EID Scopus
2-s2.0-105000828670
BibTeX 
@inproceedings{BUT193303,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor series based numerical integration method for solution of nonlinear problems with division",
  booktitle="2024 IEEE 17th International Scientific Conference on Informatics Proceedings",
  year="2025",
  pages="421--426",
  publisher="Institute of Electrical and Electronics Engineers",
  address="Poprad",
  doi="10.1109/Informatics62280.2024.10900903",
  isbn="979-8-3503-8766-7"
}
Projects
Reliable, Secure, and Intelligent Computer Systems, BUT, Vnitřní projekty VUT, FIT-S-23-8151, start: 2023-03-01, end: 2026-02-28, running
Research groups
High Performance Computing Research Group (RG HPC)
Intelligent Systems Research Group (RG INTSYS)
Departments
Department of Intelligent Systems (DITS)
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