Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations

Mathematical Problems in Engineering

Volumn 2010, Issue , 2010, Pages

  Kudreyko, Aleksey ^a   Cattani, Carlo ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE ERROR; EIGENVALUE PROBLEM; HARMONIC WAVELET; WAVELET APPROXIMATIONS; WAVELET COEFFICIENTS;

INTEGRAL EQUATIONS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 79953287297     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2010/570136     Document Type: Article

References (18)

1. Bender C. M., Ben-Naim E., Nonlinear-integral-equation construction of orthogonal polynomials Journal of Nonlinear Mathematical Physics 2008 15 supplement 3 73 80
2. Lepik U., Tamme E., Application of the Haar wavelets for solution of linear integral equations 510 Proceedings of the Dynamical Systems and Applications July 2004 Antalya, Turkey 494 507
3. Yousefi S., Banifatemi A., Numerical solution of Fredholm integral equations by using CAS wavelets Applied Mathematics and Computation 2006 183 1 458 463 (Pubitemid 44908623)
4. Liu Y.-p., Tao L., Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations Journal of Computational and Applied Mathematics 2007 201 1 300 313 (Pubitemid 46080591)
5. Beylkin G., Coifman R., Rokhlin V., Fast wavelet transforms and numerical algorithms I Communications on Pure and Applied Mathematics 2006 44 2 141 183
6. Mahmoudi Y., Wavelet Galerkin method for numerical solution of nonlinear integral equation Applied Mathematics and Computation 2005 167 2 1119 1129 (Pubitemid 41344812)
7. Xiao J.-Y., Wen L.-H., Zhang D., Solving second kind Fredholm integral equations by periodic wavelet Galerkin method Applied Mathematics and Computation 2006 175 1 508 518
8. Lepik U., Solving fractional integral equations by the Haar wavelet method Applied Mathematics and Computation 2009 214 2 468 478
9. Lepik U., Numerical solution of evolution equations by the Haar wavelet method Applied Mathematics and Computation 2007 185 1 695 704 (Pubitemid 46241401)
10. Cattani C., Harmonic wavelets towards the solution of nonlinear PDE Computers and Mathematics with Applications 2005 50 8-9 1191 1210 (Pubitemid 41770892)
11. Cattani C., Kudreyko A., On the discrete harmonic wavelet transform Mathematical Problems in Engineering 2008 2008 7
12. Muniandy S. V., Moroz I. M., Galerkin modeling of the Burgers equation using harmonic wavelets Physics Letters A 1997 235 352 356 (Pubitemid 127397915)
13. Newland D. E., An Introduction to Random Vibrations, Spectral Wavelet Analysis 1993 3rd Essex, UK Longman Scientific Technical
14. Newland D. E., Harmonic wavelet analysis The Royal Society 1993 443 203 225
15. Newland D. E., Harmonic wavelets in vibrations and acoustics Philosophical Transactions of the Royal Society A 1999 357 1760 2607 2625
16. Morita T., Expansion in Harmonic wavelets of a periodic function Interdisciplinary Information Sciences 1997 3 1 5 12
17. Mallat S., A Wavelet Tour of Signal Processing 1990 2nd Paris, France cole Polytechnique
18. Miroshnichenko G. P., Petrashen A. G., Numerical methods. Saint-Petersburg, p. 120, 2008