Numerical solution the Volterra dual integral equation of the first kind based on a method of Runge-Kutta type

Numerical solution of the system of Volterra integral equations of the first kind

This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...

A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also ...

On Numerical Solution of Integral Equation of the First Kind

Many problems of computational electromagnetics [1,2], stationary heat transfer [3,4] and elasticity theory [5] can be naturally reduced to integral equations of the first kind (IEFK) with a weak singularity. So we shall name the equations with a logarithmic peculiarity in one-dimensional case and equation with a peculiarity of an aspect 1 0 rMM in two-dimensional case, where rMM 0 is distance ...

Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method