CONVERGENCE ANALYSIS AND DISCRETIZATION ERRORS IN FINITE DIFFERENCE MODELING OF P–N JUNCTIONS

This paper presents a numerical analysis of discretization errors arising in the finite difference modeling of symmetric p–n junctions. Unlike previous comparative studies, the focus here is on the internal structure of errors introduced by discretization when solving the Poisson equation in equilibrium. The dependence of accuracy on grid step, doping concentration, and built-in potential is explored. The results are presented as heatmaps and tables, suitable for grid optimization in both educational and scientific applications.