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 …

In this paper, we derive an efficient spectral collocation algorithm to solve numerically the
nonlinear complex generalized Zakharov system (GZS) subject to initial-boundary …

In this paper, we present a method to solve nonlinear Volterra–Fredholm–Hammerstein
integral equations in terms of Bernstein polynomials. Properties of these polynomials and …

The goal of this paper is to develop a novel operation matrix approach to solving Volterra
integral equations by constructing fourth-degree hat functions and investigating their …

A numerical method for solving the Volterra–Fredholm integral equations is presented. The
method is based upon shifted Legendre polynomials approximation. The properties of …

In this paper, a new numerical approach is developed for solving linear and nonlinear
Volterra–Fredholm integral equations. The fundamental structure of the presented method is …

In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

A new method is proposed for numerical solution of Fredholm and Volterra integro-
differential equations of second kind. The proposed method is based on Haar wavelets …

A new operational matrix for integration of Bernoulli polynomials is introduced. By using this
new operational matrix of integration and the so-called collocation method, linear Volterra …

An investigation of two nonlinear mixed Volterra–Fredholm integral equations of the second
kind is undertaken. The equations are constructed as fixed-point problems, under the …