In this paper,a new high-order accuracy hybrid compact finite-difference scheme for solving the two-dimensional Helmholtz equation is developed using a hybrid compact finite-difference methods.To address the inefficiency of serial algorithm in solving the Helmholtz equation with large wave numbers,we propose a parallel high-order hybrid compact finite-difference algorithm based on the MPI environment on Linux cluster systems.Truncation error analysis shows that the proposed scheme has sixth-order accuracy.Numerical ex-perimental results show that the proposed method can achieve the theoretical sixth-order accuracy in solving Helmholtz equation problems with variable wave numbers and large wave numbers.In addition,the parallel algorithm designed in this paper exhibits good parallel speedup,which can effectively improve computational efficiency.
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