This article is based on the mathematical model constructed to analyze the simultaneous
flow and heat transfer of two nanoliquids (Casson and Williamson) in the presence of …

This review/research paper deals with the reduction of nonlinear partial differential
equations governing the dynamic behavior of structural mechanical members with emphasis …

The present study is related to the design of a new mathematical model based on the Lane–
Emden pantograph delay differential equation. The new model is obtained by using the …

This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

In this study, the Laguerre wavelet-oriented numerical scheme for nonlinear first and second-
order delay differential equations (DDEs) is offered. The proposed technique is dependent …

In this article we propose a numerical scheme to solve the pantograph equation. The
method consists of expanding the required approximate solution as the elements of the …

In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM)
and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh–Nagumo …

The main aim presented in this article is to provide an efficient transferred Legendre
pseudospectral method for solving pantograph delay differential equations. At the first step …

A time dependent symmetric flow with heat transmission of a second-grade fluid containing
nanoparticles and gyrotactic microorganisms between two parallel plates in two dimensions …

This paper is concerned with a generalization of a functional differential equation known as
the pantograph equation which contains a linear functional argument. In this article, a new …