Solving Ordinary Differential Equations by neural network

被引：0
|
作者：
Liu, BA [1 ]
Jammes, B [1 ]
机构：
[1] CNRS, LAAS, F-31077 Toulouse 4, France
来源：
ESM'99 - MODELLING AND SIMULATION: A TOOL FOR THE NEXT MILLENNIUM, VOL II | 1999年
关键词：
Ordinary Differential Equations; neural network; numerical method; approximation techniques;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we propose to approximate the solution of Ordinary Differential Equations ( ODE ) with an Artificial hTeurat Network ( ANN ). This is done by using a special ANN architecture and identifying its derivative to ODE function directly. The ANN transforms ODE solution into non-linear functions.
引用
收藏
页码：437 / 441
页数：5
相关论文
共 50 条
  • [1] Application of Legendre Neural Network for solving ordinary differential equations
    Mall, Susmita
    Chakraverty, S.
    [J]. APPLIED SOFT COMPUTING, 2016, 43 : 347 - 356
  • [2] 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.
    [J]. Optical Memory and Neural Networks, 2017, 26 (2) : 96 - 109
  • [3] Deferred correction neural network techniques for solving ordinary differential equations
    Jeon, Yonghyeon
    Baek, Kyung Ryeol
    Bu, Sunyoung
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2024, 135
  • [4] Error estimation using neural network technique for solving ordinary differential equations
    Haewon Nam
    Kyung Ryeol Baek
    Sunyoung Bu
    [J]. Advances in Continuous and Discrete Models, 2022
  • [5] Optimization free neural network approach for solving ordinary and partial differential equations
    Panghal, Shagun
    Kumar, Manoj
    [J]. ENGINEERING WITH COMPUTERS, 2021, 37 (04) : 2989 - 3002
  • [6] Optimization free neural network approach for solving ordinary and partial differential equations
    Shagun Panghal
    Manoj Kumar
    [J]. Engineering with Computers, 2021, 37 : 2989 - 3002
  • [7] Investigation of the Functional Stability of Neural Network Algorithm for Solving the Ordinary Differential Equations
    Bolodurina, Irina
    Zabrodina, Lubov
    [J]. PROCEEDINGS OF THE 7TH SCIENTIFIC CONFERENCE ON INFORMATION TECHNOLOGIES FOR INTELLIGENT DECISION MAKING SUPPORT (ITIDS 2019), 2019, 166 : 111 - 116
  • [8] Error estimation using neural network technique for solving ordinary differential equations
    Nam, Haewon
    Baek, Kyung Ryeol
    Bu, Sunyoung
    [J]. ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [9] Solving Ordinary Differential Equations Using Neural Networks
    Sen Tan, Lee
    Zainuddin, Zarita
    Ong, Pauline
    [J]. PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
  • [10] A Deep Learning Neural Network Framework for Solving Singular Nonlinear Ordinary Differential Equations
    Venkatachalapathy P.
    Mallikarjunaiah S.M.
    [J]. International Journal of Applied and Computational Mathematics, 2023, 9 (5)
12345