Numerical solution of the second kind integral equations using radial basis function networks

Applied Mathematics and Computation

Volumn 174, Issue 2, 2006, Pages 877-883

  Golbabai, A ^a   Seifollahi, S ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Integral equation; Quasi Newton method; Radial basis function network

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; OPTIMIZATION; RADIAL BASIS FUNCTION NETWORKS;

ACTIVATION FUNCTIONS; QUASI-NEWTON METHOD;

INTEGRAL EQUATIONS;

EID: 33644593113     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.05.034     Document Type: Article

References (10)

1. K. Atkinson The Numerical Solution of Integral Equations of the Second Kind 1997 Cambridge University Press
2. D.S. Broomhead, and D. Lowe Multivariate functional interpolation and adaptive networks Complex Systems 2 1988 321 355
3. R. Fletcher Practical Methods of Optimization second ed. 1987 Wiley New York
4. Isaac Elias Lagaris, Aristidis Likas, and Dimitrios I. Fotiadis Artificial neural networks for solving ordinary and partial differential equations IEEE Transactions on Neural Networks 9 5 1998
5. Derong Liu, Tsu-Shuan Chang, and Yi Zhang A constructive algorithm for feedforward neural networks with incremental training IEEE Transactions on Circuits and Systems 49 12 2002
6. L. Jianyu, L. Siwei, Q. Yingjian, H. Yaping, Interactive gradient algorithm for radial basis function networks, in: The Sixth International Conference on Signal Processing, 2002, pp. 1187-1190.
7. L. Jianyu, L. Siwei, Q. Yingjian, and H. Yaping Numerical solution of elliptic partial differential equation using radial basis function neural networks Neural Networks 16 2003 729 734
8. K. Maleknejad, and M. Karami Using the WPG method for solving integral equations of the second kind Applied Mathematics and Computation 166 2005 123 130
9. K. Maleknejad, T. Lotfi, Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules, Applied Mathematics and Computation, in press, doi:10.1016/j.amc.2004.08.048.
10. J. Park, and I.W. Sandberg Universal approximation using radial basis function networks Neural Computation 3 1991 246 257