Using rationalized Haar wavelet for solving linear integral equations

Applied Mathematics and Computation

Volumn 160, Issue 2, 2005, Pages 579-587

  Maleknejad, K ^a   Mirzaee, F ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Fredholm integral equations; Operational matrix; Product operation; Rationalized Haar functions

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

FREDHOLM INTEGRAL EQUATION; OPERATIONAL MATRIX; PRODUCT OPERATION; REATIONALIZED HAAR FUNCTIONS;

WAVELET TRANSFORMS;

EID: 9644294400     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.11.036     Document Type: Article

References (6)

1. K. Atkinson, The numerical solution of integral equations of the second kind, Cambridge University Press, 1997.
2. R.T. Lynch, J.J. Reis, Haar transform image conding, in: Proceedings of the National Telecommunications Conference, Dallas, TX, 1976, pp. 44.3-1-44.3.
3. K. Maleknejad, F. Mirzaee, Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method, Int. J. Comput. Math. 8 (11) (2003) 1397-1405.
4. M. Ohkita, Y. Kobayashi, An application of rationalized Haar functions to solution of linear differential equations, IEEE Trans. Circuit Syst. 9 (1986) 853-862.
5. M. Razzaghi, J. Nazarzadeh, Walsh functions, Wiley Encyclopedia of Electrical and Electronics Engineering, vol. 23, 1999, pp. 429-440.
6. J.J. Reis, R.T. Lynch, J. Butman, Adaptive Haar transform video bandwidth reduction system for RPV's, in: Proceedings of Annual Meeting of Society of Photo-Optic Institute of Engineering (SPIE), San Dieago, CA, 1976, pp. 24-35.