Numerical integration compromises a broad family of algorithm for calculating the numerical
value of a definite integral. Since some of the integration cannot be solved analytically …

Numerical integral is one of the mathematical branches that connect between analytical
mathematics and computer. Numerical integration is a primary tool used by engineers and …

Numerical integration plays very important role in Mathematics. There are a large number of
numerical integration methods in the literature and this paper overviews on the most …

The main goal of this research is to give the complete conception about numerical
integration including Newton-Cotes formulas and aimed at comparing the rate of …

The numerical integration for the ordinary differential equations is extremely important for
applications. So far, almost all the numerical integration methods apply the finite difference …

The main purpose of this paper is to demonstrate that using modified Simpson's quadrature
rule for solving linear Fredholm integral equations of the second kind. We convert the …

In this paper, we mainly propose the approximate solutions to solve the integration problems
numerically using the quadrature method including the Trapezoidal method, Simpson's 1/3 …

The aim of this work is to use some numerical methods to solve linear Fredholm-Volterra
integral equations of the first and second kinds. These methods namely are the repeated …

The problem of finding numerical solution for Fredholm and Volterra integral equations of
the second kinds is one of the oldest problems in the applied Mathematics literature and …