Comparative analysis of the matrix method and the finite-difference method for modeling the distribution of minority charge carriers in a multilayer planar semiconductor structure

The stationary differential heat and mass transfer equation with discontinuous coefficients describes various non-time-dependent physical processes, for example, the distribution of minority carriers from a stationary source in an inhomogeneous or multilayer structure. In this paper, we analyze the possibilities of applying the matrix method and the finite-difference method for modeling the distribution of minority charge carriers generated by kilovolt electrons in a multilayer semiconductor material. The efficiency of the matrix method for solving stationary differential equations with discontinuous coefficients is shown.