Solving linear integro-differential equations system by using rationalized Haar functions method

Applied Mathematics and Computation

Volumn 155, Issue 2, 2004, Pages 317-328

  Maleknejad, K ^a   Mirzaee, F ^a   Abbasbandy, S ^b  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

Author keywords

Linear integro differential equations system; Operational matrix; Product operation; Rationalized Haar functions

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FUNCTIONS; INTEGRATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBLEM SOLVING; SET THEORY;

OPERATIONAL MATRIX; PRODUCT OPERATION; RATIONALIZED HAAR (RH) TRANSFORMS; RATIONALIZED HAAR FUNCTIONS;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 3242672559     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00778-1     Document Type: Article

References (9)

1. Delves L.M., Mohammad J.L. Computational Method for Integral Equations. 1983;Cambridge university Press.
2. R.T. Lynch, J.J. Reis, Haar transform image coding, in: Proc. National Telecommum. Conf., Dallas, TX, 1976, pp. 44.3-1-44.3.
3. K.G. Beauchamp, Walsh function and their application, 1975.
4. K. Maleknejad, F. Mirzaee, Numerical solution of integro-differential equations by using rationalized Haar functions method, Kybernetes, Int. J. Syst. Math., in press.
5. K. Maleknejad, F. Mirzaee, Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method, Int. J. Comput. Math., in press.
6. Ohkita M., Kobayashi Y. An application of rationalized Haar functions to solution of linear differential equations. IEEE Trans. Circuit Syst. 9:1986;853-862.
7. Ohkita M., Kobayashi Y. An application of rationalized Haar functions to solution of linear partial differential equations. Math. Comput. Simulat. 30:1988;419-428.
8. M. Razzaghi, J. Nazarzadeh, Walsh functions, Wiley Encyclopedia of Electrical and Electronics Engineering, vol. 23, 1999, pp. 429-440.
9. J.J. Reis, R.T. Lynch, J. Butman, Adaptive Haar transform video bandwidth reduction system for RPV's, in: Proc. Ann. Meeting Soc. Photo Optic Inst. Eng. (SPIE), San Diego, CA, 1976, pp. 24-35.