The program is written in Python and aims to solve the one-dimensional diffusion equation using the finite difference method. It divides the solution domain into a grid of discrete points, replacing ...

The code can solve the time-derivative part of the equation with 2 ways (Euler and 2nd order Runge-Kutte) and the space-derivatives with central finite difference Finally, after solution, Graphical ...

Abstract: This paper deals with two efficient approaches for solving the current diffusion equation (CDE), which ... subsequently compared with the solution obtained from the state-of-the-art CRONOS ...

The problem’s key characteristics are the heat source’s dependency on the solution, discontinuous diffusion ... equation of Copper. It says Copper is highly able to conduct heat and electrical ...

ABSTRACT: Numerical diffusion ... solutions of advection-diffusion equation are themselves immensely sophisticated. In this paper, two numerical methods have been used to solve the advection diffusion ...

Abstract: In this paper we consider the stability and convergence of finite-difference discretizations of a reaction–diffusion equation on a one-dimensional ... an analysis of numerical schemes for ...

for parabolic partial differential equations (PDEs) of convection–diffusion–reaction type. These are known as the radial-basis-function generated finite-difference method and the Hermite ...