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Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we develop a new method to reduce the error in the splitting finite-difference method of Maxwell’s equations.
By this method two modified splitting FDTD methods (MS-FDTDI, MS-FDTDII) for the two-dimensional Maxwell equations are proposed.
It is shown that the two methods are second-order accurate in time and space and unconditionally stable by Fourier methods.
By energy method, it is proved that MS-FDTDI is second-order convergent.
By deriving the numerical dispersion (ND) relations, we prove rigorously that MS-FDTDI has less ND errors than the ADI-FDTD method and the ND errors of ADI-FDTD are less than those of MS-FDTDII.
Numerical experiments for computing ND errors and simulating a wave guide problem and a scattering problem are carried out and the efficiency of the MS-FDTDI and MS-FDTDII methods is confirmed.
American Psychological Association (APA)
Gao, Liping& Zhai, Shouhui. 2017. Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190927
Modern Language Association (MLA)
Gao, Liping& Zhai, Shouhui. Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1190927
American Medical Association (AMA)
Gao, Liping& Zhai, Shouhui. Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190927