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Based on the Crank-Nicolson (CN) scheme, an improved alternating direction implicit finite-difference time-domain (ADI-FDTD) method is proposed. By introducing local correction, the proposed method reduces the splitting error while the unconditional stability and computational efficiency are maintained. Theoretical analyses are given.
The numerical performance of an improved alternating direction implicit finite-difference time-domain (ADI-FDTD) method is studied in this letter. Theoretical analysis shows that this method is unconditionally stable and has low splitting error. Compared with the regular ADI-FDTD method, this method is a better splitting formulation for the Crank-Nicolson FDTD method.
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