In this paper, we propose a new approach for a class of optimal control problems governed by Volterra inte-gral equations which is based on linear combination property of intervals. We convert the nonlinear terms in ...

In this paper we propose a new approach for solving linear and nonlinear Volterra integral equations

(LVIE, NVIE) of the first and the second kinds. First, we define a new problem in calculus of variations, which is equivalent to this kind...

A Note On Analytical Solution Of DoubleLinear Volterra Integral Equations Of The second kind...

Abstract

One of the numerical methods for solving linear Volterra integral equations is block-by-block method, which is

explained in [L.M. Delves, J.L. Mohamed, Computational Methods for Integral Equations, Cambridge University Press...

In this paper, we use modified homotopy perturbation method(MHPM) for solving the systemof linear and non- linear Volterra integral equations. Comparisons are made between MHPM and well- known Adomain decomposition method (ADM) abd Runge- Kutta...

In this work, we present a computational method for solving nonlinear Volterra integral equation of the second kind, which is based on the use of rational Haar wavelets. Finally, we give some numerical example....

This paper proposes a modified homotopy perturbation method to solve Fredholm and Volterra integral equations. Comparison of the obtained results with those obtained by the standard homotopy perturbation method shows that the proposed method is very...

In this paper we present a new approach for

linear Volterra integral equations that is based on optimal

control theory. Some optimal control problems

corresponding Volterra integral equation be introduced

which we solve...

In this article, we present a method for numerical approximation of fixed point operator, particularly for the integral one associated to a nonlinear mixed Fredholm–Volterra integral equation, which uses the properties of rationalized Haar wavelets...

Abstract

One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermit interpolation

[J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Second ...