Konstantinos Kalimeris

The Fokas method for linear convection–diffusion equation with time-dependent coefficients and its extension to other evolution equations

In this paper, we study a linear convection–diffusion equation with time-dependent coefficients on a bounded interval, motivated by associated physical problems. We apply and adapt the unified transform method (UTM), also known as the Fokas method, which handles both time-varying coefficients and non-zero boundary da...