## Abstract In this paper, a higher‐order alternative‐direction‐implicit (ADI) finite‐difference time‐domain (FDTD) method is presented. The dispersion analysis is performed and the results are compared with those derived from the regular ADI‐FDTD method. Based on the dispersion analysis, a guideli
A compact higher-order ADI-FDTD method
✍ Scribed by Weiming Fu; Eng Leong Tan
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 84 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
Abstract
A 2D higher‐order alternating‐direction‐implicit (ADI) finite‐difference time‐domain method based on a compact scheme is presented in this paper. This compact ADI method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the 4^th^‐order scheme. The method is proved to be unconditionally stable and its dispersion analysis is also presented. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 273–275, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20609
📜 SIMILAR VOLUMES
We develop a class of higher-order mixed ®nite dierence methods for elliptic partial dierential equations. The problem is recast as a ®rst-order mixed system and the higher-order compact schemes follow as a natural extension of the formulations we developed previously for the scalar PDE problem. Sin
## Abstract A two‐dimensional (2D) locally one‐dimensional finite‐difference time‐domain (LOD‐FDTD) method with low numerical dispersion is introduced by virtue of a parameter‐optimized compact fourth‐order scheme. The numerical dispersion error and anisotropy of numerical phase velocity of this ne
## Abstract A two‐step FDTD method as a compromise of conditional stability and reduced splitting error is formulated and its numerical stability is investigated. It is the perturbed form to the ADI‐FDTD method by the addition of second order cross derivative term. It is validated from the comparis
## Abstract The finite‐difference time‐domain (FDTD) method is an effective technique for computing wideband electrical parameters such as scattering parameters of waveguide structures. in the computations, a known incident is normally required and is usually obtained with a simulation of a long un