Solving Fredholm integral equations of the first kind by using wavelet bases

Authors : Yaser ROSTAMİ, Khosrow Maleknejad

Pages : 1729-1743

Doi:10.15672/hujms.553433

View : 35 | Download : 10

Publication Date : 2019-12-08

Article Type : Research Paper

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