Developing and Analyzing Fourth-order Difference Methods for the Metamaterial Maxwell's Equations
Document Type
Article
Publication Date
5-28-2018
Publication Title
Advances in Computational Mathematics
First page number:
1
Last page number:
29
Abstract
In this paper, we develop both a fourth order explicit scheme and a compact implicit scheme for solving the metamaterial Maxwell’s equations. A systematic technique is introduced to prove stability and error estimate for both schemes. Numerical results supporting our analysis are presented. To our best knowledge, our convergence theory and stability results are novel, and provide the first error estimate for the fourth order finite difference methods for Maxwell’s equations.
Keywords
Maxwell's equations; Metamaterial; FDTD method; Fourth order method
Disciplines
Applied Mathematics
Language
English
Repository Citation
Li, J.,
Chen, M.,
Chen, M.
(2018).
Developing and Analyzing Fourth-order Difference Methods for the Metamaterial Maxwell's Equations.
Advances in Computational Mathematics
1-29.
http://dx.doi.org/10.1007/s10444-018-9614-8