Advection, Diffusion and Delivery over a Network

                                           

Advection, Diffusion and Delivery over a Network

 Many biological, geophysical and technological systems involve the transport of resource over a network. In this paper we present an algorithm for calculating the exact concentration of resource at any point in space or time, given that the resource in the network is lost or delivered out of the network at a given rate, while being subject to advection and diffusion