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 ...

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 ...

Restrictive Pade Approximation (RPA) for parabolic Partial Differential Equation (PDE) and Partial Difference Equations is a new technique done by İsmail and Elbarbary [1] . In addition, they studied ...

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 ...

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 ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

Abstract: The finite difference method, as developed at the University of Colorado [1,2,3,4] for the numerical solutions of the nonlinear counterparts of Laplace's, Poisson's, and the diffusion ...

The second part presents the solution of the target equations by the finite volume method. In fact, this is equivalent to solve diffusion equations coupled ... presented : on the one hand, the ...

This project presents a numerical solution to the diffusion equation using finite difference methods in C++ ... The project also includes Python scripts to visualize the results. For each method, the ...