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 …

An efficient technique, called pseudo-Galerkin, is performed to approximate some types of
linear/nonlinear BVPs. The core of the performance process is the two well-known weighted …

This paper is focused on performing a new method for solving linear and nonlinear higher-
order boundary value problems (HBVPs). This direct numerical method based on spectral …

In this paper, orthonormal Bernoulli collocation method has been developed to obtain the
approximate solution of linear singular stochastic Itô‐Volterra integral equations. By …

The aim of this paper is to investigate an efficient numerical method based on a novel shifted
piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind …

In this paper, an accurate numerical method based on the cosine-trigonometric basis
functions is developed to solve the Fredholm integral equations of the second kind. By using …

In this paper, the fourth kind Chebyshev wavelets collocation method (FCWM) is applied for
solving a class of fractional Volterra-Fredholm integro-differential equations with mixed …

This paper presents a numerical method based on the least squares method and the second
kind Chebyshev wavelets for solving the multi-dimensional Itô Volterra integral equations …

A reliable numerical method has been presented in this article to solve n-dimensional
stochastic Itô–Volterra integral equations. In the proposed approach, relying on the valuable …

This article proposes two efficient methods to solve nonlinear stochastic Itô–Volterra integral
equations. The shifted Jacobi spectral Galerkin method and shifted Jacobi operational …