1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

1 Mathematics Department, Faculty of Education and Science (AL-Khurmah Branch), Taif University, Taif, KSA. 2 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt.

ABSTRACT: In this paper we consider the numerical method of characteristics for the numerical solution of initial value problems (IVPs) for quasilinear hyperbolic Partial Differential Equations, as ...

Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes the ...

Abstract: Finite difference methods are well‐known numerical methods to solve differential equations by approximating the derivatives using different difference schemes. Theoretical results have been ...

Project Overview This project investigates the behavior of heat transfer in a one-dimensional rod with a discontinuity in thermal conductivity. The analysis is based on solving the steady-state heat ...

Systems in which variable time-lags are present are of common occurrence in biology. Variable flow rates are a common cause of these variable lags. At present no extensive body of knowledge exists ...

The solution of the Navier-Stokes equations by finite differences method is presented. Various concepts are presented as well as the mathematical model governing the behavior of a fluid; particular ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

Abstract: In this work, we present a numerical solution of the coupled time domain integral equations to obtain induced currents and scattered far fields on a three-dimensional, arbitrary shaped ...