发布时间：2025-04-30

论文名称：A robust method of computing finite difference coefficients based on Vandermonde matrix

发表刊物：Journal of Applied Geophysics

摘要：When the finite difference (FD) method is employed to simulate the wave propagation, high-order FD method
is preferred in order to achieve better accuracy. However, if the order of FD scheme is high enough, the
coefficient matrix of the formula for calculating finite difference coefficients is close to be singular. In this case,
when the FD coefficients are computed by matrix inverse operator of MATLAB, inaccuracy can be produced.
In order to overcome this problem, we have suggested an algorithm based on Vandermonde matrix in this
paper. After specified mathematical transformation, the coefficient matrix is transformed into a Vandermonde
matrix. Then the FD coefficients of high-order FD method can be computed by the algorithm of Vandermonde
matrix, which prevents the inverse of the singular matrix. The dispersion analysis and numerical results of
a homogeneous elastic model and a geophysical model of oil and gas reservoir demonstrate that the
algorithm based on Vandermonde matrix has better accuracy compared with matrix inverse operator of
MATLAB.

合写作者：Yijie Zhang, Jinghuai Gao, Jigen Peng,WeiminHan

卷号：158(2018)

页面范围：110-117

是否译文：否

发表时间：2018-03-16