A positivity condition is used to obtain functional relations between the time and space step-sizes for nonstandard finite-difference models of the Fisher partial differential equation. An upper bound is also derived for the solutions to the difference equations.
Zero phase velocity error finite-difference time-domain method for small space step and large time step sizes
✍ Scribed by Mehmet Kusaf; Abdullah Y. Oztoprak
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 770 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Unconditionally stable multi (4, 6, and 8) split‐step finite‐difference time‐domain methods are isotropic for a certain space step size and a stability factor.It is shown in this letter that for small step sizes the phase velocity errors can be corrected by using a factor which is a function of the product of the space step size and the stability factor. This way, it is not necessary to obtain the multiplication factor each time when a different space step size is used. Also, by using this multiplication factor zero phase velocity error can be obtained in all directions at a chosen frequency. Performance analyses have shown that the method is also wideband. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:423–426, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26567
📜 SIMILAR VOLUMES