
By introducing extra degree of freedom into the space- domain stencils, an isotropy-improved nonstandard finite-differ- ence (NSFD) (2,2) method is presented in this paper. The technique is also extended to the higher-order (2,4) stencils. Both analytical and numerical results are presented and compared to demonstrate the accuracy and the strengths of these methods. Index Terms—Dispersion, finite-difference time-domain (FDTD) methods, isotropy, nonstandard.
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