A nonstandard finite difference scheme for the drift-diffusion system
Ronald E. Mickens - Department of Physics, Clark Atlanta University, Atlanta, GA 30314, United States (email)
Abstract: We derive a nonstandard finite difference scheme for the coupled, nonlinear PDE's modeling laser generated electrons and holes in a semiconductor. Our scheme has the essential feature of giving numerical solutions for which the charge densities are non-negative. Many of the standard schemes do not have this physically required property.
Keywords: Drift-diffusion systems, nonlinear PDE's, reaction-diffusion
equations, laser physics
Received: June 2008; Revised: May 2009; Published: September 2009.