Abstract

A fast, easily implemented and high efficiency algorithm for time fractional Maxwell’s system is constructed. The algorithm is based on recently developed the sum-of-exponentials (SOE) approximation and Finite-Difference Time-Domain (FDTD) method. A particular feature of our proposed algorithm is that it can achieve high efficiency with no loss in accuracy. The computing process of our algorithm in detail is derived. Numerical experiments in 2D and 3D are presented to verify the efficiency and correctness of our proposed algorithm.

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