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

被引：1

作者：

Allali, Fatima ^{[1
]}

Alaa, Nour Eddine ^{[2
]}

Ghammaz, Abdelilah ^{[1
]}

Rouijaa, Hicham ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Lab LSET Morocco, Marrakech, Morocco

[2] Univ Cadi Ayyad, Lab LAMAI Morocco, Marrakech, Morocco

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2017年 / 25卷 / 02期

关键词：

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

D O I：

10.1515/auom-2017-0018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a new beta-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 beta-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.

引用

页码：25 / 38

页数：14

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