ID-wavelets method for Hammerstein integral equations

Journal of Computational Mathematics

Volumn 16, Issue 6, 1998, Pages 499-508

  Wang, Xian Biao ^a   Lin, Wei ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Degenerate kernel; Interval wavelets; Nonlinear integral equation

Indexed keywords

EID: 31044431906     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41 (1988), 909-996.
2. A. Cohen, I. Daubechies, P. Vial, Wavelets on the interval and fast wavelet transforms, Computational and Applied Harmonic, No.1, 1994.
3. S. Kumar, A new collocation-type method for Hammerstein integral equations, Mathematics of Computation, 48 : 178, (1987), 585-593.
4. S. Mallat, Multiresolution approximation and wavelets, Trans. Amer. Math. Soc., 315 (1989), 69-88.
5. Z. Shen, Y.S. Xu, Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line, Applicable Analysis, 59 (1995) 163-184.
6. C.T.H. Barker, The Numerical Treatment of Integral Equations, Clarendon Press, Oxford, 1977.
7. J.C. Xu, W.C. Shann, Garlerkin-wavelet methods for two-point boundary value problems, Numer. Math., 63 (1992), 123-144.
8. G. Beylkin, R. Coifman, V. Rokhlin, Fast wavelets transforms and numerical algorithms I, Commmunications on Pure and Applied Mathematics, 44 (1991), 141-183.