Study on the stability of the higher-order FDTD (2, 4) including lumped inductors

The paper presents a study of the numerical stability of the higher-order finite-difference time domain FDTD (2, 4) technique for calculating the lumped-inductor-loaded region. Six different cases including explicit, implicit and semi-implicit schemes based on the differential and integral equations including the lumped inductor's current-voltage characteristics are analysed in detail. Five stability condition formulas and an unconditional instability conclusion are obtained using the Routh–Hurwitz criterion. The theoretical results are validated by the numerical results gained by means of actual FDTD (2, 4) simulations.

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