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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

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Abstract

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

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Kaluga Branch, Kaluga, Russia

    E. V. Seregina

  2. Kaluga State University, Kaluga, Russia

    V. V. Kalmanovich & M. A. Stepovich

Authors
  1. E. V. Seregina
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  2. V. V. Kalmanovich
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  3. M. A. Stepovich
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Correspondence to E. V. Seregina.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 172, Proceedings of the Voronezh Winter Mathematical School “Modern Methods of Function Theory and Related Problems,” Voronezh, January 28 – February 2, 2019. Part 3, 2019.

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Seregina, E.V., Kalmanovich, V.V. & Stepovich, M.A. 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. J Math Sci 267, 773–780 (2022). https://doi.org/10.1007/s10958-022-06168-1

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