
The authors present a new finite-difference time-domain method which is fourth-order accurate both in time and space. The computational efficiency of the method is essentially improved compared to the original FD-TD method, but retains much of its simplicity. It can be easily adapted to cope with material discontinuities and different boundary conditions. Several numerical experiments illustrate the efficiency of the method, they indicate that dispersive errors can be effectively reduced.
explicit fourth order method, Applied Mathematics, Maxwell's equation, Yee's scheme, Experimental work for problems pertaining to optics and electromagnetic theory, Explicit fourth-order scheme, Yu's scheme, Computational Mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Maxwell's equations, FD-TD method, Staggered scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FDTD method, Finite difference methods applied to problems in optics and electromagnetic theory
explicit fourth order method, Applied Mathematics, Maxwell's equation, Yee's scheme, Experimental work for problems pertaining to optics and electromagnetic theory, Explicit fourth-order scheme, Yu's scheme, Computational Mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Maxwell's equations, FD-TD method, Staggered scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FDTD method, Finite difference methods applied to problems in optics and electromagnetic theory
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