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

Year 2019, Volume: 48 Issue: 6 , 1729 - 1743 , 08.12.2019

Yaser Rostami Khosrow Maleknejad

https://doi.org/10.15672/hujms.553433

Cited By: 9

https://izlik.org/JA57MJ67PX

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

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