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Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method
Joint Authors
Alqezweeni, Mohie Mortadha
Gorbachenko, Vladimir Ivanovich
Zhukov, Maxim Valerievich
Jaafar, Mustafa Sadeq
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
A method using radial basis function networks (RBFNs) to solve boundary value problems of mathematical physics is presented in this paper.
The main advantages of mesh-free methods based on RBFN are explained here.
To learn RBFNs, the Trust Region Method (TRM) is proposed, which simplifies the process of network structure selection and reduces time expenses to adjust their parameters.
Application of the proposed algorithm is illustrated by solving two-dimensional Poisson equation.
American Psychological Association (APA)
Alqezweeni, Mohie Mortadha& Gorbachenko, Vladimir Ivanovich& Zhukov, Maxim Valerievich& Jaafar, Mustafa Sadeq. 2018. Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1173545
Modern Language Association (MLA)
Alqezweeni, Mohie Mortadha…[et al.]. Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-4.
https://search.emarefa.net/detail/BIM-1173545
American Medical Association (AMA)
Alqezweeni, Mohie Mortadha& Gorbachenko, Vladimir Ivanovich& Zhukov, Maxim Valerievich& Jaafar, Mustafa Sadeq. Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1173545
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173545