文章基本信息

标题：Solving Ordinary and Partial Differential Equation Using Legendre Neural Network DDY2 Method
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作者：Ahmat Saiful Latif ; Sumardi ; Imam Solekhudin 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2021
卷号：29
期号：3
页码：1005-1014
语种：English
出版社：Newswood Ltd
摘要：In this paper, we present a new method based onmodification on single layer Legendre Neural Network(LeNN)method to be Legendre Neural Network DDY2 (LeNNDDY2)method to solve ordinary and partial differential equation. Theactivation function on the hidden layer is changed by Legendrepolynomial expansion. The optimization method used in weightand bias updates is the DDY2 conjugate gradient method. Forexample problems, the numerical results have been comparedwith the other methods and gotten better results.
关键词：differential equation; artificial neural network; Legendre polynomial; DDY2 conjugate gradient