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 present a numerical method for solving Volterra integral equations of the
second kind (VK2), first kind (VK1) and even singular type of these equations. The proposed …

In the present paper, a new efficient technique is described for solving nonlinear mixed
partial integrodifferential equations with continuous kernels. Using the separation of …

In this study, Bernstein approximation method has been applied along with Riemann–
Liouville fractional integral operator to solve both the second and the first kind of fractional …

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 …

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 …

In this paper, a new computational method based on stochastic operational matrix for
integration of Bernoulli polynomials is proposed for solving nonlinear Volterra–Fredholm …

Use of Bernstein Polynomials in Numerical Solutions of Volterra Integral Equations Page 1
Applied Mathematical Sciences, Vol. 2, 2008, no. 36, 1773 - 1787 Use of Bernstein Polynomials …

The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra
integral equations by using Modified Bernstein–Kantorovich operators. The unknown …

We aim to give the numerical method for solving the fractional Volterra integral equations of
first and second kinds. We here use the techniques based upon rational Chebyshev …