The goal of this paper is to present a new scheme based on the stochastic arithmetic (SA) to
find the optimal convergence control parameter, the optimal iteration and the optimal …

Mani Mehra A First Course Page 1 Forum for Interdisciplinary Mathematics Wavelets Theory
and Its Applications Mani Mehra A First Course Page 2 Forum for Interdisciplinary …

In this paper, the nonlinear Volterra-Fredholm integro-differential equations are solved by
using the homotopy analysis method (HAM). The approximation solution of this equation is …

The use of homotopy analysis method to approximate the solution of nonlinear Volterra-
Fredholm integro-differential equation is proposed in this paper. In this case, the existence …

In this paper, the homotopy analysis method (HAM) is considered to find the series solution
of the linear Convection Diffusion (CD) equation. For this purpose, an algorithm is …

The aim of this study is to present the use of a semi analytical method called the optimal
homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of …

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 …

The theory of integral equations has been an active field of research for many years and is
inextricably related with other areas of Mathematics such as complex and mathematical …

In this paper, the weakly singular nonlinear integro-differential equation is solved by using
the homotopy perturbation and homotopy analysis methods. The approximation solution of …

This article provides approximate solutions to some linear and nonlinear Volterra-Integral
equations of the second kind by using the Variational Iteration Method (VIM). Conversion …