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, ...

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

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 ...

Thermoelectric technology enables the direct conversion between heat and electricity based on the Seebeck and Peltier effects, and can be used for both power generation and refrigeration. However, the ...