Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method

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 proces...

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Bibliographic Details
Main Authors: Mohie Mortadha Alqezweeni, Vladimir Ivanovich Gorbachenko, Maxim Valerievich Zhukov, Mustafa Sadeq Jaafar
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/9457578
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