A New Constructing Rational Functions Method For Solving Lane-Emden Type Equations

被引：3

作者：

He, Jilong ^{[1
]}

Zheng, Zhoushun ^{[1
]}

Du, Changfa ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2023年 / 55卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Rational Chebyshev polynomials; Lane-Emden equation; Error back propagation algorithm; Machine learning; NEURAL-NETWORK; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; COLLOCATION APPROACH; WAVELETS METHOD; ALGORITHM; PHYSICS; MODEL;

D O I：

10.1007/s11063-022-10968-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a new construction machine learning method is proposed based on Rational Chebyshev polynomials to solve Lane-Emden type differential equations. The method is used for training, and the parameters are obtained by the error back propagation principle. By comparing with Chebyshev neural network proposed in [Appl. Math. Comp. 247:100-114(2014)][Appl. Soft. Comp. 43:347-356(2016)], our results are more accurate.

引用

页码：1889 / 1918

页数：30

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