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Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

Editor-in-Chief: Flaut, Cristina

1 Issue per year

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Numerical Analysis of Transmission Lines Equation by new β-method Schemes

Fatima Allali / Nour Eddine Alaa / Abdelilah Ghammaz / Hicham Rouijaa
Published Online: 2017-09-21 | DOI: https://doi.org/10.1515/auom-2017-0018


In this paper we develop a new β-method applied to the resolution of homogeneous transmission lines. A comparison with conventional methods used for this type of problems like FDTD method or classical β-method is also given. Furthermore, various numerical experiments are presented to confirm the accuracy, efficiency and stability of our proposed method. In particular, these simulations show that our new scheme is unconditionally stable and fourth-order accurate in space and time.

Keywords: transmission lines; finite-difference time-domain (FDTD); electromagnetic propagation; fourth order; beta method; numerical stability; truncation error

MSC 2010: Primary 65L06; 65L12; 65L20; Secondary 78M20; 78M25


  • [1] David B. Davidson, Computational Electromagnetics for RF for RF and Microwave Engineering Second Cambridge university Press, 2011.Google Scholar

  • [2] J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68-73.Google Scholar

  • [3] Erturk E, Corke TC, Gokcol C.numerical solutions of 2- D steady in- compressible driven cavity ow at high Reynolds numbers. International journal for Numerical Methods in uids 2005; 48:747-774.Google Scholar

  • [4] S. Zhao and G.W. Wei, High-order FDTD methods via derivative match- ing for Maxwell's equations with material interfaces, Journal of Compu- tational Physics 2004, 200, pp. 60-103. Google Scholar

  • [5] J. Fang, Time domain finite diérence computation for Maxwell's equa- tions, Ph.D. dissertation, Univ. California, Berkeley, CA, 1989.Google Scholar

  • [6] Kunz, Karl S and Luebbers, Raymond J. The finite diérence time domain method for electromagnetics, CRC press 1993.Google Scholar

  • [7] Clayton R. Paul, Introduction to ElectroMagnetic Compatibility, (second Edition), Wiley Series in Microwave and Optical Engineering, Kai Chang, Series Editor 1992.Google Scholar

  • [8] Taove, Allen and Hagness, Susan C, Computational electrodynamics, Artech house publishers 2000.Google Scholar

  • [9] N. Canouet, L. Fézoui, S. Piperno, Méthode volumes finis pour la résolution du systéme de Maxwell 1D sur des grilles rafinées localement, INRIA report Nfi4301, October 2001.Google Scholar

  • [10] S. Piperno, Schémas TVD d'ordre élevé pour la résolution de l'équation de Burgers, , INRIA report Nfi4301, December 1996.Google Scholar

  • [11] J. A. Desideri, A. Goudjo, V. Selmin, Third order schems for hyperbolic problems, INRIA report Nfi607, 1987.Google Scholar

  • [12] Heaviside, O. (1951). Electromagnetic Theory, Volume I (first edition 1893; second edition 1951), London: E. and F.N. SPON LTD.Google Scholar

  • [13] Franceschetti, G. (1997). Electromagnetics, New York: Plenum Press.CrossrefGoogle Scholar

  • [14] Yee K.S., Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media, IEEE Trans. Antennas Propagat. 14 (1966) 302.CrossrefGoogle Scholar

About the article

Published Online: 2017-09-21

Published in Print: 2017-07-26

Citation Information: Analele Universitatii "Ovidius" Constanta - Seria Matematica, Volume 25, Issue 2, Pages 25–38, ISSN (Online) 1844-0835, DOI: https://doi.org/10.1515/auom-2017-0018.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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