<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Numerical Analysis of Transmission Lines Equation by new β-method Schemes"}

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...

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

Published Online: Sep 21, 2017

Page range: 25 - 38

DOI: https://doi.org/10.1515/auom-2017-0018

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

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 25 - 38

DOI: https://doi.org/10.1515/auom-2017-0018

Keywordstransmission lines, finite-difference time-domain (FDTD), electromagnetic propagation, fourth order, beta method, numerical stability, truncation error

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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