A rationalized Haar functions method for nonlinear Fredholm-Hammerstein integral equations

International Journal of Computer Mathematics

Volumn 79, Issue 3, 2002, Pages 333-343

  Razzaghi, M ^a,b   Ordokhani, Y ^b  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Fredholm hammerstein; Haar functions; Integral equations; Nonlinear

Indexed keywords

ALGEBRAIC EQUATIONS; FREDHOLM-HAMMERSTEIN; HAAR FUNCTIONS; NONLINEAR;

COMPUTATIONAL METHODS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; VECTORS;

FUNCTIONS;

EID: 17844393730     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160211932     Document Type: Article

References (16)

1. Tricomi, F. G. (1982). Integral Equations, Dover.
2. Lardy, L. J. (1982). A variation of Nystrom's method for Hammerstein equations, J. Integral Equations, 3, 123-129.
3. Brunner, H. (1982). Implicitly linear collocation method for nonlinear Volterra equations, J. Appli. Num. Math., 9, 235-247.
4. Hsiao, C. H. and Chen, C. F. (1979). Solving integral equations via Walsh functions, Comput. Elec. Engng., 6, 279-292.
5. Wang, C. H. and Shih, Y. P. (1982). Explicit solutions of integral equations via block-pulse functions, Int. J. Syst. Sci., 13, 773-782.
6. Hwang, C. and Shih, Y. P. (1982). Solution of integral equations via Laguerre polynomials, Comp. and Elect. Engng., 9, 123-129.
7. Chang, R. Y. and Wang, M. L. (1985). Solutions of integral equations via shifted Legendre polynomials, Int. J. Syst. Sci., 16, 197-208.
8. Chou, J. H. and Horng, I. R. (1985). Double-shifted Chebyshev series for convolution integral and integral equations, Int. J. Contr., 42, 225-232.
9. Razzaghi, M., Razzaghi, M. and Arabshahi, A. (1990). Solution of convolution integral and Fredholm integral equations via double Fourier series, Appl. Math. Comp., 40, 215-224.
10. Razzaghi, M. and Nazarzadeh, J. (1999). Walsh Functions, Wiley Encyclopedia of Electrical and Electronics Engineering, 23, 429-440.
11. Beauchamp, K. G., Walsh functions and their applications, 1975.
12. Lynch, R. T. and Reis, J. J. (1976). Haar transform image coding, Proc. 1976 National Telecommun. Conf., Dallas, TX, 44.3-1-44.3.
13. Reis, J. J., Lynch, R. T. and Butman, J. (1976). Adaptive Haar transform video bandwidth reduction system for RPV's, Proc. Ann. Meeting Soc. Photo Optic Inst. Eng. (SPIE), San Dieago, CA, pp. 24-35.
14. Ohkita, M. and Kobayashi, Y. (1986). An Application of rationalized Haar functions to solution of linear differential equations, IEEE Trans. on Circuit and Systems, 9, 853-862.
15. Ohkita, M. and Kobayashi, Y. (1988). An Application of rationalized Haar functions to solution of linear partial differential equations, Mathematics and Computers in Simulations, 30, 419-428.
16. Phillips, G. M. and Taylor, P. J., Theory and Applications of Numerical Analysis, Academic Press, New York, 1973.