Semiorthogonal spline wavelets approximation for fredholm integro-differential equations

Mathematical Problems in Engineering

Volumn 2006, Issue , 2006, Pages 1-12

  Lakestani, M ^a   Razzaghi, M ^a,b   Dehghan, M ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; GRAPH THEORY; INTEGRAL EQUATIONS; WAVELET TRANSFORMS;

B-SPLINE WAVELETS; SEMIORTHOGONAL SPLINE WAVELETS APPROXIMATION;

APPROXIMATION THEORY;

EID: 33645138162     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/MPE/2006/96184     Document Type: Article

References (12)

1. G. Ala, M. L. Di Silvestre, E. Francomano, and A. Tortorici, An advanced numerical model in solving thin-wire integral equations by using semi-orthogonal compactly supported spline wavelets, IEEE Transactions on Electromagnetic Compatibility 45 (2003), no. 2, 218-228.
2. A. Ayad, Spline approximation for first order Fredholm integro-differential equations, Universitatis Babeş-Bolyai. Studia. Mathematica 41 (1996), no. 3, 1-8.
3. S. H. Behiry and H. Hashish, Wavelet methods for the numerical solution of Fredholm integro-differential equations, International Journal of Applied Mathematics 11 (2002), no. 1, 27-35.
4. C. K. Chui, An Introduction to Wavelets, Wavelet Analysis and Its Applications, vol. 1, Academic Press, Massachusetts, 1992.
5. J. C. Goswami, A. K. Chan, and C. K. Chui, On solving first-kind integral equations using wavelets on a bounded interval, IEEE Transactions on Antennas and Propagation 43 (1995), no. 6, 614-622.
6. M. Lakestani, M. Razzaghi, and M. Dehghan, Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets, Mathematical Problems in Engineering 2005 (2005), no. 1, 113-121.
7. P. Linz, A method for the approximate solution of linear integro-differential equations, SIAM Journal on Numerical Analysis 11 (1974), no. 1, 137-144.
8. G. Micula and G. Fairweather, Direct numerical spline methods for first-order Fredholm integro-differential equations, Revue d'Analyse Numérique et de Théorie de l'Approximation 22 (1993), no. 1, 59-66.
9. R. D. Nevels, J. C. Goswami, and H. Tehrani, Semi-orthogonal versus orthogonal wavelet basis sets for solving integral equations, IEEE Transactions on Antennas and Propagation 45 (1997), no. 9, 1332-1339.
10. G. M. Phillips, Analysis of numerical iterative methods for solving integral and integrodifferential equations, The Computer Journal 13 (1970), no. 3, 297-300.
11. A. Ralston and P. Rabinowitz, A First Course in Numerical Analysis, McGraw-Hill, New York, 1985.
12. W. Volk, The numerical solution of linear integro-differential equations by projection methods, Journal of Integral Equations 9 (1985), no. 1, suppl., 171-190.