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A proposed numerical solution for the diffusion equation

Both one and two-dimensional diffusion equations are treated numerically, on a purely mathematical basis with the aid of a digital computer. One and two-dimensional models are considered to represent the n-region of a p-n junction. The impurity profile is assumed to be exponential, resulting in drift fields of constant magnitude. In the two-dimensional analysis the already existing one-dimensional theory of the mechanism for minority carriers is extended to respond to the requirements of the boundary conditions. Furthermore, the lateral dimension, and the position of the metal contact are taken into account. A qualitative description of the variation of reverse switching times with the variation of some physical parameters characterizing the models, as well as a rango of possible solutions, are provided.