The forward and backward conditioned diffusion equations relative to the event of the process attaining absorption in one of the boundaries have been derived from the corresponding Kolmogorov ...

Green's functions and propagators for the multi-dimensional anisotropic space-time fractional diffusion equation are obtained in integral form. Uniqueness of the solutions is studied in the framework ...

Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...

Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...