TY - JOUR
T1 - Stability condition and numerical dispersion of fourth-order compact precise-integration time-domain method
AU - Kang, Zhen
AU - Ma, Xikui
AU - Yang, Fang
AU - Li, Weilin
AU - Zhao, Xin
AU - Wu, Xuanlyu
AU - Wu, Xiaohua
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/6
Y1 - 2019/6
N2 - In order to mitigate the numerical dispersion errors of the compact precise integration time-domain (CPITD) algorithm, the fourth-order CPITD [CPITD(4)] method is proposed recently which is based on the fourth-order finite-difference scheme and the precise integration technique. Both the stability condition and the numerical dispersion equation have been obtained. In this paper, the numerical dispersion characteristics of the CPITD(4) method, especially the improvement of the numerical dispersion by using the fourth-order finite-difference scheme are discussed in detail. It is found that the numerical dispersion errors of the CPITD(4) method are much less than those of the CPITD, compact finite-difference time-domain (CFDTD), and CFDTD(2,4) methods and can be made nearly independent of the time-step size. Furthermore, the numerical experiments validate the accuracy and the efficiency of the CPITD(4) method, and also verify our analysis of the numerical dispersion characteristics of the CPITD(4) method.
AB - In order to mitigate the numerical dispersion errors of the compact precise integration time-domain (CPITD) algorithm, the fourth-order CPITD [CPITD(4)] method is proposed recently which is based on the fourth-order finite-difference scheme and the precise integration technique. Both the stability condition and the numerical dispersion equation have been obtained. In this paper, the numerical dispersion characteristics of the CPITD(4) method, especially the improvement of the numerical dispersion by using the fourth-order finite-difference scheme are discussed in detail. It is found that the numerical dispersion errors of the CPITD(4) method are much less than those of the CPITD, compact finite-difference time-domain (CFDTD), and CFDTD(2,4) methods and can be made nearly independent of the time-step size. Furthermore, the numerical experiments validate the accuracy and the efficiency of the CPITD(4) method, and also verify our analysis of the numerical dispersion characteristics of the CPITD(4) method.
KW - Compact technique
KW - fourth-order finite-difference scheme
KW - numerical dispersion
KW - precise-integration (PI) time-domain method
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=85065916829&partnerID=8YFLogxK
U2 - 10.1109/TMAG.2019.2893655
DO - 10.1109/TMAG.2019.2893655
M3 - 文章
AN - SCOPUS:85065916829
SN - 0018-9464
VL - 55
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
IS - 6
M1 - 8635544
ER -