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This article is cited in 1 scientific paper (total in 1 paper)
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
Abstract:
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.
Keywords:
delay differential equations, coded differential transform method, numerical solution, mathematica.
Received: 29.05.2019 Accepted: 14.11.2019
Citation:
G. Methi, A. Kumar, “Numerical solution of linear and higher-order delay differential equations using the coded differential transform method”, Computer Research and Modeling, 11:6 (2019), 1091–1099
Linking options:
https://www.mathnet.ru/eng/crm765 https://www.mathnet.ru/eng/crm/v11/i6/p1091
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Abstract page: | 183 | Full-text PDF : | 76 | References: | 28 |
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