- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 6
- Solving Fredholm integral equations of the first kind by using wavelet bases
Solving Fredholm integral equations of the first kind by using wavelet bases
Authors : Yaser Rostami, Khosrow Maleknejad
Pages : 1729-1743
Doi:10.15672/hujms.553433
View : 15 | Download : 6
Publication Date : 2019-12-08
Article Type : Research
Abstract :In this paper, we used a project technique for solving integral equation of the first kind by wavelet families via regularization approach and we proved the convergence for the numerical method and error consideration. Semi-orthogonal B-spline scaling functions and wavelets of degree 4 and their dual functions are presented to approximate the solutions to integral equations. Sparse matrix will product of semi-orthoganality and vanishing moment properties of B-spline wavelets.Keywords : Fredholm integral equations, projection method, regularization, quartic B-spline wavele