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This paper presents the application of unconditionally stable fundamental alternating-direction-implicit finite-difference time-domain (FADI-FDTD) method for multiple-pole Debye dispersive media. The interaction of terahertz pulse with human skin, in particular, healthy skin and basal cell carcinoma (BCC) is shown. The healthy skin and BCC are modeled as Debye dispersive media and the model is incorporated into the FADI-FDTD method. Numerical experiments on delineating the BCC margin from healthy skin are demonstrated using the FADI-FDTD method based on reflected terahertz pulse.