Taylor Series Based Numerical Integration Method
This article deals with a high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-12-01
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| Series: | Open Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/comp-2020-0163 |
| _version_ | 1818488014042562560 |
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| author | Veigend Petr Nečasová Gabriela Šátek Václav |
| author_facet | Veigend Petr Nečasová Gabriela Šátek Václav |
| author_sort | Veigend Petr |
| collection | DOAJ |
| description | This article deals with a high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems. The MATLAB implementation of the method is compared with state-of-the-art MATLAB solvers. |
| first_indexed | 2024-12-10T16:45:41Z |
| format | Article |
| id | doaj.art-d234195873794ca9987fa98f664d5f7d |
| institution | Directory Open Access Journal |
| issn | 2299-1093 |
| language | English |
| last_indexed | 2024-12-10T16:45:41Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Computer Science |
| spelling | doaj.art-d234195873794ca9987fa98f664d5f7d2022-12-22T01:41:04ZengDe GruyterOpen Computer Science2299-10932020-12-01111606910.1515/comp-2020-0163comp-2020-0163Taylor Series Based Numerical Integration MethodVeigend Petr0Nečasová Gabriela1Šátek Václav2Brno University of Technology, Faculty of Information Technology, Božetěchova 2, 612 66, Brno, Czech RepublicBrno University of Technology, Faculty of Information Technology, Božetěchova 2, 612 66, Brno, Czech RepublicBrno University of Technology, Faculty of Information Technology, Božetěchova 2, 612 66, Brno, Czech Republic; IT4Innovations, VŠB Technical University of Ostrava, 17. listopadu 15/2172, 708 33, Ostrava-Poruba, Czech RepublicThis article deals with a high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems. The MATLAB implementation of the method is compared with state-of-the-art MATLAB solvers.https://doi.org/10.1515/comp-2020-0163ordinary differential equationsinitial value problemsautonomous systemstaylor seriesmtsmmatlab |
| spellingShingle | Veigend Petr Nečasová Gabriela Šátek Václav Taylor Series Based Numerical Integration Method Open Computer Science ordinary differential equations initial value problems autonomous systems taylor series mtsm matlab |
| title | Taylor Series Based Numerical Integration Method |
| title_full | Taylor Series Based Numerical Integration Method |
| title_fullStr | Taylor Series Based Numerical Integration Method |
| title_full_unstemmed | Taylor Series Based Numerical Integration Method |
| title_short | Taylor Series Based Numerical Integration Method |
| title_sort | taylor series based numerical integration method |
| topic | ordinary differential equations initial value problems autonomous systems taylor series mtsm matlab |
| url | https://doi.org/10.1515/comp-2020-0163 |
| work_keys_str_mv | AT veigendpetr taylorseriesbasednumericalintegrationmethod AT necasovagabriela taylorseriesbasednumericalintegrationmethod AT satekvaclav taylorseriesbasednumericalintegrationmethod |