The main purpose of this work is to provide a numerical approach for two-dimensional
Volterra integral equations (2D-VIEs). An algorithm based on the use of Taylor polynomials …

The present paper deals with the numerical solution for a general form of a system of
nonlinear Volterra delay integro-differential equations (VDIDEs). The main purpose of this …

In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic
estimates are made for the solution of VIDE. Finite difference scheme which is accomplished …

In this manuscript, a new numerical approach is developed for approximating the solution of
the one-dimensional and two-dimensional Volterra integro-differential equations (2D-VIDEs) …

The hyperbolic partial differential equation (PDE) has important practical uses in science
and engineering. This article provides an estimate for solving the Goursat problem in …

In this paper, the Taylor collocation method is applied to numerically solve a kth-order
neutral linear Volterra integro-differential equation with constant delay and variable …

In this study, a numerical method is developed for the approximate solution of the linear
Volterra integro-differential equations. This method is based Boole polynomial, its …

In this dissertation, we presented some basic concepts, definitions, and necessary theorems
for integral and integro-differential equations and their Classified has been presented. Then …

This thesis aims to present a straightforward, convergent, and readily applicable numerical
method for computing approximate solutions to linear two-dimensional first-order and …

In this paper, the numerical solution of a two‐dimensional partial Volterra integro‐differential
equation (2D‐PVIDE) is provided by extending the Taylor collocation scheme of one …