A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis.

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Title: A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis.
Authors: Kong, Yong‐Dan1, Chu, Qing‐Xin1, Li, Rong‐Lin1
Source: Microwave & Optical Technology Letters. May2014, Vol. 56 Issue 5, p1031-1036. 6p.
Subjects: Dispersion (Chemistry), Bandwidths, Finite difference time domain method, Numerical analysis, Error analysis in mathematics
Abstract: ABSTRACT 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 [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:ABSTRACT 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 [ABSTRACT FROM AUTHOR]
ISSN:08952477
DOI:10.1002/mop.28259