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

共 50 条

[21] Approximation on an infinite range to ordinary differential equations solutions by a function of a radial basis function
Jenkinson, Damian P.
Mason, John C.
ALGORITHMS FOR APPROXIMATION, PROCEEDINGS, 2007, : 269 - +
[22] Neural network approach to intricate problems solving for ordinary differential equations
Budkina E.M.
Kuznetsov E.B.
Lazovskaya T.V.
Tarkhov D.A.
Shemyakina T.A.
Vasilyev A.N.
Optical Memory and Neural Networks, 2017, 26 (2) : 96 - 109
[23] Deferred correction neural network techniques for solving ordinary differential equations
Jeon, Yonghyeon
Baek, Kyung Ryeol
Bu, Sunyoung
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2024, 135
[24] Solving Classification Problems Using Projection-Based Learning Algorithm with Fuzzy Radial Basis Function Neural Network
Padma, S.
Pugazendi, R.
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE AND APPLICATIONS, 2018, 17 (03)
[25] A symmetric integrated radial basis function method for solving differential equations
Mai-Duy, Nam
Dalal, Deepak
Thi Thuy Van Le
Duc Ngo-Cong
Thanh Tran-Cong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34 (03) : 959 - 981
[26] A Forward Learning Algorithm for Neural Memory Ordinary Differential Equations
Xu, Xiuyuan
Luo, Haiying
Yi, Zhang
Zhang, Haixian
INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2024, 34 (09)
[27] Advanced extreme learning machine modeling using radial basis function network and context clustering
Kim, Junbeom
Lee, Wonjo
Oh, KyoJoong
Kim, Sung-Suk
Choi, Ho-Jin
International Journal of Smart Home, 2012, 6 (03): : 49 - 56
[28] Solving differential equations with radial basis functions
Wu, ZM
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1999, 202 : 537 - 543
[29] RBFL embedded network data algorithm based on machine learning and radial basis function
Yan Junya
AGRO FOOD INDUSTRY HI-TECH, 2017, 28 (01): : 2321 - 2325
[30] Development of Extreme Learning Machine Radial Basis Function Neural Network Models to Predict Residual Aluminum for Water Treatment Plants
Jayaweera, C. D.
Aziz, N.
PROCEEDINGS OF THE FUTURE TECHNOLOGIES CONFERENCE (FTC) 2018, VOL 1, 2019, 880 : 835 - 848

← 1 2 3 4 5 →