Divergence Properties of the Nonstandard Finite Difference Methods

Yee's classic algorithm was proved to be divergence-free in source-free regions. However, the divergence properties of the nonstandard finite difference (NSFD) methods have not been addressed. In this letter, we investigate the divergence nature of the NSFD (2,2) and (2,4) algorithms. Both the...

Full description

Saved in:
Bibliographic Details
Published in:IEEE microwave and wireless components letters 2007-02, Vol.17 (2), p.88-90
Main Authors: Bo Yang, Balanis, C.A.
Format: Article
Language:English
Subjects:
Algorithms
Applied classical electromagnetism
Difference equations
Differential equations
Divergence
Divergence equations
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite difference method
Finite difference methods
finite-difference time-domain (FDTD) methods
Frequency
Fundamental areas of phenomenology (including applications)
Gaussian processes
Integral equations
Integrals
Law
Magnetic fields
Mathematical analysis
Microwaves
nonstandard finite difference (NSFD)
Physics
rectangular meshes
Time domain analysis
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Yee's classic algorithm was proved to be divergence-free in source-free regions. However, the divergence properties of the nonstandard finite difference (NSFD) methods have not been addressed. In this letter, we investigate the divergence nature of the NSFD (2,2) and (2,4) algorithms. Both the differential and integral forms of Gauss's Law are examined
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2006.890172