In this paper, we propose a modified adaptive algorithm (MAA) of dealing with the high chirp to efficiently simulate
the propagation of chirped pulses along an optical fiber for the propagation distance shorter than the “temporal focal
length”. The basis of the MAA is that the chirp term of initial pulse is treated as the rapidly varying part by means of the
idea of the slowly varying envelope approximation (SVEA). Numerical simulations show that the performance of the
MAA is validated, and that the proposed method can decrease the number of sampling points by orders of magnitude. In
addition, the computational efficiency of the MAA compared with the time-domain beam propagation method (BPM)
can be enhanced with the increase of the chirp of initial pulse.