Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.553433 Mathematical Sciences Matematik Solving Fredholm integral equations of the first kind by using wavelet bases https://orcid.org/0000-0002-4506-9672 Rostami Yaser Islamic Azad University https://orcid.org/0000-0003-1774-7525 Maleknejad Khosrow Iran University of Science and Technology 12 08 2019 48 6 1729 1743 02 03 2017 06 27 2018 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

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.

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