The paper proposes an analysis technique of the sound propagation in the Arctic Ocean with ice cover model, in which the abrupt variations of the density and sound speed occur at boundary interfaces in the ice/water or water/seabed. To reduce a truncation error for the finite-difference, a new developed method combined the Douglas operator scheme for variable coefficients to the multi-step method for higher-order Pade approximation is derived for solving acoustic sound wave propagation in the Arctic Ocean. As a result, the present method has a truncation error of fourth-order O(ΔZ~4) for the finite difference of the depth direction. The numerical result is also compared with existing other methods.
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