35 citations · 47 across the 2 of their papers we have counts for
2 papers
physics.class-ph2022★ 12 cited
Advanced self-similar solutions of regular and irregular diffusion equations
Imre Ferenc Barna, László Mátyás
We study the diffusion equation with an appropriate change of variables. This equation is in general a partial differential equation (PDE). With the self-similar and related Ansatä…
math.NA2021★ 35 cited
A class of new stable, explicit methods to solve the non-stationary heat equation
Endre Kovács
We present a class of new explicit and stable numerical algorithms to solve the spatially discretized linear heat or diffusion equation. After discretizing the space and the time v…