Parabolic partial differential equations (PDEs) play a pivotal role in modelling processes that involve diffusion and thermal dynamics. Over recent decades, the study of their controllability – the ...

Finite Volume Methods (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...

This is a preview. Log in through your library . Abstract We consider non-negative solutions of the heat equation with strong absorption, ∂tu − Δu = uƔχ{u>0} in (0, ∞) × Ω, where Ω is a smooth bounded ...

The initial-boundary value problem for a linear parabolic equation with the Dirichlet boundary condition is solved approximately by applying the finite element discretization in the space dimension ...