In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E13. Using the usual transformation between Frenet and Darboux frames, we investigate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.
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Abdel-Aziz et al. (2017) studied this question.