I know that the diffusion equation is a more general version of the heat equation. But what is the exact difference informally?

Dec 1, 2017 · For the case of heat equation in 1 D Boundary value problem described it can be shown that the characteristic time T is L**2/d . The question it self is composed of two parts …

Nov 6, 2017 · In the case of heat transfer, the temperature can rise indefinitely. But in the case of diffusion, there is a capacity limit. How should the diffusion and heat equations be solved for …

However, differently from the diffusion equation, the diffusion coefficient in the Schrodinger equation is imaginary. That tells us that we have to separate the Schrödinger equation into …

Feb 10, 2024 · If you divide your 2nd equation by T, you get The term in parenthesis in the divergenc\e terms on the right hand side can be written as where is the heat flux vector and is …

Apr 13, 2018 · I looked at a similar question to find out how to discretize the heat equation in 2 spacial dimensions at the boundary between two materials. I am required to use explicit …

May 23, 2021 · I have been given this partial differential equation and am asked to find an application for it. I can see that the partial terms correspond to the heat diffusion equation but I …

The background: I'm doing some simulation work involving the diffusion equation in 1D. Specifically I have some temperature profile, constant thermal conductivity and fixed …

Mar 3, 2024 · Now I wonder, if the heat diffusion equation in this case is then still like this: $$\frac {D T} {D t} = \alpha \vec \nabla^2 T$$ Of course I can re-consider energy balance for the …

Sep 19, 2016 · Whether we should treat it as a wave equation or a heat equation with imaginary time, or both? If it is a wave equation, how do we express it in the form of a wave equation? Is …