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A new approach for solving delay differential equations with time varying delay

Publish Year: 1403
Type: Journal paper
Language: English
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JR_IJNAA-15-10_020

Index date: 7 July 2024

A new approach for solving delay differential equations with time varying delay abstract

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.

A new approach for solving delay differential equations with time varying delay Keywords:

A new approach for solving delay differential equations with time varying delay authors

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

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