A Wavelet Based Method for the Solution of Fredholm Integral Equations ()
Abstract
In this article, we use scaling function interpolation method to solve linear Fredholm integral equations, and we prove a convergence theorem for the solution of Fredholm integral equations. We present two examples which have better results than others.
Share and Cite:
E. Lin and Y. Al-Jarrah, "A Wavelet Based Method for the Solution of Fredholm Integral Equations,"
American Journal of Computational Mathematics, Vol. 2 No. 2, 2012, pp. 114-117. doi:
10.4236/ajcm.2012.22015.
Conflicts of Interest
The authors declare no conflicts of interest.
References
|
[1]
|
F. Brauer, “On a Nonlinear Integral Equation for Population Growth Problems,” SIAM Journal on Mathematical Analysis, No. 6, 1975, pp. 312-317.
|
|
[2]
|
F. Brauer and C. Castillo, “Mathematical Models in Population Biology and Epidemiology,” Applied Mathematics and Computation, Springer-Verlang, New York, 2001.
|
|
[3]
|
T. A. Butorn, “Volterra Integral and Differential Equations,” Academic Press, New York, 1983.
|
|
[4]
|
K. C. Charles, “In Introduction to Wavelets,” Academic Press, New York, 1992.
|
|
[5]
|
E, B. Lin and X. Zhou, “Coiflet Interpolation and Approximate Solutions of Elliptic Partial Differential Equations,” Numerical Methods for Partial Differential Equations, Vol. 13, No. 4, 1997, pp. 302-320.
doi:10.1002/(SICI)1098-2426(199707)13:4<303::AID-NUM1>3.0.CO;2-P
|
|
[6]
|
K. Maleknjaf and T. Lotfi, “Using Wavelet For Numerical Solution of Fredholm Integral Equations,” Proceedings of the World Congress on Engineering, London, 2-4 July 2007, pp. 2-6.
|