Reaction–diffusion dynamics lie at the heart of understanding pattern formation in complex systems, ranging from chemical reactions and biological patterning to engineering applications. At its core, ...

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 ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

This is a preview. Log in through your library . Abstract A reaction-diffusion model motivated by Proteus mirabilis swarm colony development is presented and analyzed in this work. The principal ...

Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are ...