Radial basis function neural network with extreme learning machine algorithm for solving ordinary differential equations

被引：5

作者：

Liu, Min ^{[1
]}

Peng, Wenping ^{[2
]}

Hou, Muzhou ^{[1
]}

Tian, Zhongchu ^{[2
]}

机构：

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

[2] Changsha Univ Sci & Technol, Sch Civil Engn, Changsha 410114, Peoples R China

来源：

SOFT COMPUTING | 2023年 / 27卷 / 07期

关键词：

Radial basis function network; Extreme learning machine; Ordinary differential equation; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION;

D O I：

10.1007/s00500-022-07529-3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We present a novel numerical method for solving ordinary differential equations using radial basis function (RBF) network with extreme learning machine algorithm. A single-layer RBF link neural network model has been developed for the proposed method. The weight from the hidden layer to the output layer can be calculated efficiently by extreme learning machine algorithm. The experimental comparison of various methods proves that the proposed method shows better performance than the existing methods.

引用

页码：3955 / 3964

页数：10

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