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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Similarity Reduction of Energy-Transport Models for Semiconductors

by
M. Molati
* and
C. Wafo Soh
*
School of Computational and Applied Mathematics Centre for Differential Equations, Continuum Mechanics and Applications University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2005, 10(2), 221-230; https://doi.org/10.3390/mca10020221
Published: 1 August 2005
Versions Notes

Abstract

The main purpose of this work is to perform symmetry classification of a system of partial differential equations for energy-transport in semiconductors. In the case where there are symmetries, they are used to reduce the number of independent variables which in turn enables one to construct invariant solutions. Invariant solutions of a given equation satisfy an equation with fewer independent variables. Thus, the search of invariant solutions can be viewed as a sort of dimensional reduction. From a computational standpoint, the reduced system is easier to analyse both numerically and analytically than the original system.
Keywords: Energy-transport; symmetry; invariant solution; dimensional reduction Energy-transport; symmetry; invariant solution; dimensional reduction

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MDPI and ACS Style

Molati, M.; Soh, C.W. Similarity Reduction of Energy-Transport Models for Semiconductors. Math. Comput. Appl. 2005, 10, 221-230. https://doi.org/10.3390/mca10020221

AMA Style

Molati M, Soh CW. Similarity Reduction of Energy-Transport Models for Semiconductors. Mathematical and Computational Applications. 2005; 10(2):221-230. https://doi.org/10.3390/mca10020221

Chicago/Turabian Style

Molati, M., and C. Wafo Soh. 2005. "Similarity Reduction of Energy-Transport Models for Semiconductors" Mathematical and Computational Applications 10, no. 2: 221-230. https://doi.org/10.3390/mca10020221

APA Style

Molati, M., & Soh, C. W. (2005). Similarity Reduction of Energy-Transport Models for Semiconductors. Mathematical and Computational Applications, 10(2), 221-230. https://doi.org/10.3390/mca10020221

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