SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS
The article deals with the creation of methodical support for mathematical modeling of dynamic processes in elements of the systems and complexes. As mathematical models ordinary differential equations have been used. The coefficients of the equations of the models can be nonlinear functions of the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Digitalisation of Education of the NAES of Ukraine
2016-07-01
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| Series: | Інформаційні технології і засоби навчання |
| Subjects: | |
| Online Access: | http://journal.iitta.gov.ua/index.php/itlt/article/view/1387 |
| _version_ | 1797717305768017920 |
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| author | Tetiana D. Panchenko Iryna A. Tuzova Volodymyr V. Chelabchi Viktor M. Chelabchi |
| author_facet | Tetiana D. Panchenko Iryna A. Tuzova Volodymyr V. Chelabchi Viktor M. Chelabchi |
| author_sort | Tetiana D. Panchenko |
| collection | DOAJ |
| description | The article deals with the creation of methodical support for mathematical modeling of dynamic processes in elements of the systems and complexes. As mathematical models ordinary differential equations have been used. The coefficients of the equations of the models can be nonlinear functions of the process. The projection-grid method is used as the main tool. It has been described iterative method algorithms taking into account the approximate solution prior to the first iteration and proposed adaptive control computing process. The original method of estimation error in the calculation solutions as well as for a given level of error of the technique solutions purpose adaptive method for solving configuration parameters is offered. A method for setting an adaptive method for solving the settings for a given level of error is given. The proposed method can be used for distributed computing. |
| first_indexed | 2024-03-12T08:34:25Z |
| format | Article |
| id | doaj.art-fca68145c80543bea9f901c62908aa7a |
| institution | Directory Open Access Journal |
| issn | 2076-8184 |
| language | English |
| last_indexed | 2024-03-12T08:34:25Z |
| publishDate | 2016-07-01 |
| publisher | Institute for Digitalisation of Education of the NAES of Ukraine |
| record_format | Article |
| series | Інформаційні технології і засоби навчання |
| spelling | doaj.art-fca68145c80543bea9f901c62908aa7a2023-09-02T17:24:02ZengInstitute for Digitalisation of Education of the NAES of UkraineІнформаційні технології і засоби навчання2076-81842016-07-0153398108874SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMSTetiana D. Panchenko0Iryna A. Tuzova1Volodymyr V. Chelabchi2Viktor M. Chelabchi3Одесский национальный морской университет, г. ОдессаОдесский национальный морской университет, г. ОдессаОдесский национальный морской университет, г. ОдессаОдесский национальный морской университет, г. ОдессаThe article deals with the creation of methodical support for mathematical modeling of dynamic processes in elements of the systems and complexes. As mathematical models ordinary differential equations have been used. The coefficients of the equations of the models can be nonlinear functions of the process. The projection-grid method is used as the main tool. It has been described iterative method algorithms taking into account the approximate solution prior to the first iteration and proposed adaptive control computing process. The original method of estimation error in the calculation solutions as well as for a given level of error of the technique solutions purpose adaptive method for solving configuration parameters is offered. A method for setting an adaptive method for solving the settings for a given level of error is given. The proposed method can be used for distributed computing.http://journal.iitta.gov.ua/index.php/itlt/article/view/1387адаптивное управлениепроекционно-сеточный методнелинейные обыкновенные дифференциальные уравнения |
| spellingShingle | Tetiana D. Panchenko Iryna A. Tuzova Volodymyr V. Chelabchi Viktor M. Chelabchi SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS Інформаційні технології і засоби навчання адаптивное управление проекционно-сеточный метод нелинейные обыкновенные дифференциальные уравнения |
| title | SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS |
| title_full | SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS |
| title_fullStr | SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS |
| title_full_unstemmed | SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS |
| title_short | SELECT NUMERICAL METHODS FOR MODELING THE DYNAMICS SYSTEMS |
| title_sort | select numerical methods for modeling the dynamics systems |
| topic | адаптивное управление проекционно-сеточный метод нелинейные обыкновенные дифференциальные уравнения |
| url | http://journal.iitta.gov.ua/index.php/itlt/article/view/1387 |
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