Abstract:

Staggered grid finite difference algorithm is effective, accurate and practical, so it has wide application prospect and practical significance.So far, the common high-order scheme of staggered grid finite difference algorithm is 4-order temporal and 2N-order spatial accuracy.However, the FD scheme isn’t 2N-order accuracy actually when computing second or third spatial derivative.The authors deduce the FD scheme with 2N-order accuracy and corresponding coefficients of any number of derivatives of functions which have any number of derivatives forthefirsttime.So we can consummate conventional high-order staggered grid finite difference algorithm.We make a simulation of seismic response with conventional FD scheme and the new FD scheme respectively，and compared with analytic solution respectively. As a result, the new FD scheme is more stabilized and more accurate.

Key words: staggered grid, finite difference scheme, finite difference coefficients, high-order