A survey on the use of the Haar wavelet method for solving nonlinear integral and
differential equations is presented. This approach is applicable to different kinds of integral …

In this paper, we present a new semi-analytical method for solving linear and nonlinear
Fredholm integral and integro-differential equations of the second kind and the systems …

Shannon wavelets are used to define a method for the solution of integrodifferential
equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet …

In this study, we introduce a modified wavelet Galerkin method proposed recently by us to
analyze the large deflection bending problems of thin rectangular plates, which are …

In this paper, we present a numerical method for solving, linear and nonlinear, weakly
singular Fredholm integral equations of the second kind. The method utilizes Legendre …

In this paper, we apply the wavelet-Galerkin method to obtain approximate solutions to
linear Volterra integral equations (VIEs) of the second kind. Daubechies wavelets are used …

A new Nyström-type method is proposed in the paper to solve linear Fredholm integral
equations of the second kind. Convergence and error analysis of the numerical solution are …

This article deals with the application of the periodized harmonic wavelets for solution of
integral equations and eigenvalue problems. The solution is searched as a series of …

In this paper, we propose an improved cuckoo optimization algorithm (ICOA) to determine
unknown function u (x) in the Fredholm integral equations of the second kind. To show utility …

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 …