Helmholtz方程的三维紧差分格式及快速求解算法  

Fast transform for a sixth-order compact difference scheme for 3D Helmholtz equation

作　　者：郭瑞昌[1] 钟尔杰[1] 王超[1] 

机构地区：[1]电子科技大学应用数学学院,四川成都610054

出　　处：《西南民族大学学报（自然科学版）》2009年第6期1154-1157,共4页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：本文从差分角度对三维helmholtz方程进行离散,得到相应的紧差分格式,并通过数值实验表明,快速算法对该格式具有良好的适用性.In this paper, a sixth-order accurate compact finite-difference method for solving the Helmholtz equation in three dimensions is developed and analyzed. This scheme is based on a combination of second-order difference operator, and numerical experiments show that significant gain in terms ofcompution time and this scheme also has the expected accuracy.

关 键 词：HELMHOLTZ方程 紧差分格式 快速变换 

分 类 号：O175.2[理学—数学]