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A compact fourth‐order unconditionally stable six‐stages split‐step FDTD method and numerical analysis
Author(s) -
Kong YongDan,
Chu QingXin,
Li RongLin
Publication year - 2014
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.28259
Subject(s) - finite difference time domain method , computation , mathematics , bandwidth (computing) , compact finite difference , microwave , algorithm , matrix (chemical analysis) , scheme (mathematics) , computer science , mathematical analysis , physics , telecommunications , optics , materials science , composite material
A compact fourth‐order six‐stages split‐step finite‐difference time‐domain method is developed, which is based on the compact fourth‐order scheme. The proposed method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the fourth‐order scheme. Furthermore, the proposed method is proven to be unconditionally stable. The numerical dispersion error of this new approach is studied by comparison to the original second‐order method and fourth‐order method. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:1031–1036, 2014