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We apply a new method consisting of a coordinate transformation and two-step scheme to simulate numerically Zscan characteristics of a nonlinear medium. A comparison of numerical results obtained by this new method with those by the conventional numerical method is made. The results show that the new scheme yields a large, ordersof-magnitude range improvement in computational speed and accuracy for the analysis of the closed-aperture and open-aperture Z-scan characteristics, compared with the conventional numerical method.