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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
THE 3RD BRICS MATHEMATICS CONFERENCE
Numerical solution of linear and higher-order delay differential equations using the coded differential transform method
G. Methi, A. Kumar Manipal University Jaipur,
Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan, India
Аннотация:
The aim of the paper is to obtain a numerical solution for linear and higher-order delay differential equations (DDEs) using the coded differential transform method (CDTM). The CDTM is developed and applied to delay problems to show the efficiency of the proposed method. The coded differential transform method is a combination of the differential transform method and Mathematica software. We construct recursive relations for a few delay problems, which results in simultaneous equations, and solve them to obtain various series solution terms using the coded differential transform method. The numerical solution obtained by CDTMis compared with an exact solution. Numerical results and error analysis are presented for delay differential equations to show that the proposed method is suitable for solving delay differential equations. It is established that the delay differential equations under discussion are solvable in a specific domain. The error between the CDTM solution and the exact solution becomes very small if more terms are included in the series solution. The coded differential transform method reduces complex calculations, avoids discretization, linearization, and saves calculation time. In addition, it is easy to implement and robust. Error analysis shows that CDTM is consistent and converges fast. We obtain more accurate results using the coded differential transform method as compared to other methods.
Ключевые слова:
delay differential equations, coded differential transform method, numerical solution, mathematica.
Поступила в редакцию: 29.05.2019 Принята в печать: 14.11.2019
Образец цитирования:
G. Methi, A. Kumar, “Numerical solution of linear and higher-order delay differential equations using the coded differential transform method”, Компьютерные исследования и моделирование, 11:6 (2019), 1091–1099
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/crm765 https://www.mathnet.ru/rus/crm/v11/i6/p1091
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Страница аннотации: | 183 | PDF полного текста: | 77 | Список литературы: | 28 |
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