Title : ( A new approach for solving delay differential equations with time varying delay )
Authors: Tahereh Jabbarikhanbehbin , Sohrab Effati , Mortaza Gachpazan , Seyed Mohsen Miri ,
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Abstract
n 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.
Keywords
, Delay Differential Equations, Artificial Neural Networks, unconstrained optimization problem
@article{paperid:1097735,
author = {Jabbarikhanbehbin, Tahereh and Effati, Sohrab and Gachpazan, Mortaza and Miri, Seyed Mohsen},
title = {A new approach for solving delay differential equations with time varying delay},
journal = {International Journal of Nonlinear Analysis and Applications},
year = {2023},
volume = {15},
number = {1},
month = {December},
issn = {2008-6822},
pages = {1--7},
numpages = {6},
keywords = {Delay Differential Equations; Artificial Neural Networks; unconstrained optimization problem},
}
%0 Journal Article
%T A new approach for solving delay differential equations with time varying delay
%A Jabbarikhanbehbin, Tahereh
%A Effati, Sohrab
%A Gachpazan, Mortaza
%A Miri, Seyed Mohsen
%J International Journal of Nonlinear Analysis and Applications
%@ 2008-6822
%D 2023
