A new optimal staggered-grid finite difference (SFD) scheme based on minimax approximation method is proposed to perform high accuracy numerical solution. Optimal SFD coefficients can be determined by using Remez algorithm under the iterative condition of Chebyshev’s criteria to better approximate the first-order spatial derivatives. Numerical analysis shows that the optimal SFD coefficients provide better accuracy at large wavenumber for the same spatial SFD operator length, compared with the conventional Taylor-series expansion SFD coefficients. Furthermore, numerical modeling results also show that the optimal SFD scheme can suppress dispersion effectively, which demonstrates the greater numerical solution accuracy by the new method.


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