声波方程隐式高阶有限差分数值模拟

推导了声波方程空间二阶导数的隐式求解公式及差分系数的求解方法，讨论了该方法的数值频散特征。利用该方法分别对均匀介质及Marmousi模型进行了数值模拟，将其结果与传统的显式差分格式的模拟结果进行了对比分析。结果表明:该方法较传统的显式求解方法具有更低的数值频散、更高的计算精度。 

High-order implicit finite difference numerical simulation of acoustic wave equation

The paper derived implicit solution method for solving differential equations and coefficient of acoustic space of the second derivative of the equation, discussed numerical frequency dispersion characteristics of this method. Using this method, Marmousi model and homogeneous medium were simulated numerically. The results were analyzed and compared with the result obtained by traditional explicit difference scheme. The result showed that this method was lower in numerical dispersion and more accurate in calculation.