Geodesic
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
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Tome 172 (2019), pp. 104-112

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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.
Keywords: mathematical model, differential equation, electron beam, semiconductor, multilayer planar structure, matrix method, finite-difference method. 
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     author = {E. V. Seregina and V. V. Kalmanovich and M. A. Stepovich},
     title = {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},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {104--112},
     publisher = {mathdoc},
     volume = {172},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_172_a7/}
}
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E. V. Seregina; V. V. Kalmanovich; M. A. Stepovich. 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. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Tome 172 (2019), pp. 104-112. http://geodesic.mathdoc.fr/item/INTO_2019_172_a7/