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International Journal of Nonlinear Analysis and Applications، جلد ۱۵، شماره ۱۰، صفحات ۲۳۵-۲۴۱
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عنوان انگلیسی A new approach for solving delay differential equations with time varying delay
چکیده انگلیسی مقاله In this paper, Artificial Neural Networks are used to solve Delay Differential Equations. We have suggested an appropriate approximation function based on ANN and then by solving an optimization problem of error function, the neural network is trained. The advantage of this technique is that the proposed approximation functions, with a slight modification, can be used for most types of delay differential equations, including DDE with constant delay, time-dependent delay and pantograph delay. To demonstrate the effectiveness of the method, various examples have been tested and the validity and efficiency of the method have been shown.
کلیدواژه‌های انگلیسی مقاله Delay differential equations,Artificial Neural Networks,unconstrained optimization problem
نویسندگان مقاله Tahereh Jabbari Khanbehbin |
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Sohrab Effati |
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Mortaza Gachpazan |
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Seyed Mohsen Miri |
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_8306_2b7ce1a762432115610016fa3a7b3e87.pdf
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