Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

The goal of this research is to provide an effective technique for finding approximate
solutions to the Fredholm integral problems of second kind using the Fibonacci Wavelet. To …

For force identification, the solution may differ from the desired force seriously due to the
unknown noise included in the measured data, as well as the ill-posedness of inverse …

A numerical method is developed for solving the Abel s integral equations is presented. The
method is based upon Hermite wavelet approximations. Hermite wavelet method is then …

In this paper, we propose the linear semiorthogonal compactly supported B-spline wavelets
as a basis functions for the efficient solution of linear Fredholm integral equations of the …

Higher order Haar wavelet method (HOHWM) is applied to integral equations of the second
kind. Both Fredholm and Volterra types' integral equations are considered. The method is …

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 …

Abstract The Haar Wavelet method is used to obtain numerical solutions of one dimensional
differential equation with varied conditions prescribed at the boundary: initial, boundary, and …

In this paper, we study the Legendre wavelets for the solution of linear, nonlinear and
singular Fredholm integral equations of second kind using approximation technique. The …

Analytical solution of the two-dimensional integral equations are usually difficult. In many
cases, approximate solutions are required. In this paper, we study the approximate solution …