ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...
Abstract: Differential equations have demonstrated intrinsic connections to network structures, linking discrete network layers through continuous equations. Most existing approaches focus on the ...
I am using an algorithm to compute the convective diffusion equation, The algorithm can be summarized in serial computation as follows: 1.In the beginning, I wanted to port this method to MFEM's ...
In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...
Applying the finite-difference method to the Convection Diffusion equation in python3. Examples included: One dimensional Heat equation, Transport equation, Fokker-Plank equation and some two ...
The multiscale modeling of a reaction-transport process is an important issue in both fundamental and applied studies. We introduced a reaction–diffusion–convection model to deal with the ...
1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics, Jimma University, Jimma, Ethiopia A uniformly convergent numerical scheme is ...
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Chemically induced transport methods open up new opportunities for colloidal transport ...
In the practical problems such as nuclear waste pollution and seawater intrusion etc., many problems are reduced to solving the convection-diffusion equation, so the research of convection-diffusion ...