The q-deformed heat equation and q-deformed diffusion equation with q-translation symmetry
The q-deformed heat equation and q-deformed diffusion equation with q-translation symmetry
In this paper we consider the discrete heat equation with a certain non-uniform space interval which is related to q-addition appearing in the non-extensive entropy theory. By taking the continuous limit, we obtain the q-deformed heat equation. Similarly, we obtain the solution of the q-deformed diffusion equation