In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater\nacoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared\nfor an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep-sea Munk speed profile. The\nresearch shows that, compared with the finite difference method, the Chebyshev spectral method has the advantages of a high\ncomputational accuracy and short computational time in underwater acoustic propagation.
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