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 …

Numerical approach of two-derivative Runge-Kutta type method with three-stage fifth-order
(TDRKT3 (5)) is developed and proposed for solving a special type of third-order delay …

In this article, we extend the Laplace transform method to obtain analytic solutions for linear
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …

In this work, we introduce a feasible and efficient method for solving weakly singular
fractional pantograph delay integro-differential equations. To implement the proposed …

In this paper, we focus on investigating the performance of the mathematical software
program Maple and the programming language MATLAB when using these respective …

In this paper we develop an approach for obtaining the solutions to systems of linear
retarded and neutral delay differential equations. Our analytical approach is based on the …

In this paper, we propose a methodology for computing the analytic solutions of linear
retarded delay-differential equations and neutral delay-differential equations that include …

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 article, we studied the existence of solutions for a more general form of nonlinear
fourth-order differential equations by using a new generalization of the Arzelá–Ascoli …