The finite volume method is used to solve the Navier-Stokes equations. The paper is divided into two distinct parts. The first part presents the discretization method for solving the diffusion and ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

In this paper a meshless method of lines is proposed for the numerical solution of time-dependent nonlinear coupled partial differential equations. Contrary to mesh oriented methods of lines using the ...

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 ...

The finite element method (FEM) has evolved into a robust and flexible tool for solving partial differential equations (PDEs) defined on surfaces. Its versatility allows for the treatment of complex ...

This is a preview. Log in through your library . Abstract A finite difference method is developed for solving symmetric positive differential equations in the sense of Friedrichs. The method is ...

Welcome to the Finite Difference Method (FDM) project for MATLAB! This README provides an overview of the project, instructions for getting started, details about its usage, features, and how to ...

This advanced course explores the theory, development, and application of exponential integrators in the numerical solution of stiff systems of ordinary differential equations (ODEs). The key topics ...