A survey of numerical schemes for transportation equation

The convection-diffusion equation is a fundamental that exists widely. consists of two processes: diffusion and convection. can also be called drift-diffusion equaintion. convection – mainly characterizes natural phenomenon in which physical particles, energy are transferred system. well-known linear transport one kind equation. describe the scalar field such as material feature, chemical reaction or temperature an incompressible flow. In this paper, we discuss famous numerical scheme, Lax-Friedrichs method, for important ingredient design Method, namely choice fluxes will discussed detail. We give detailed proof L 1 stability scheme address issues related to implementation scheme.