变系数电报方程的紧致差分格式  

COMPACT DIFFERENCE SCHEME FOR VARIABLE COEFFICIENT TELEGRAPH EQUATION

作　　者：杨文洁 姜子文 Yang Wenjie;Jiang Ziwen(School of Mathematics and Statistics,Shandong Normal University,250358,Jinan,China)

机构地区：[1]山东师范大学数学与统计学院

出　　处：《山东师范大学学报（自然科学版）》2019年第3期262-264,共3页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11171193);山东省自然科学基金资助项目(ZR2017MA020)

摘　　要：本文针对二维的变系数电报方程的初边值问题构造了一种高精度三层差分格式,时间具有二阶精度,空间具有四阶精度,最后通过数值算例验证了格式的有效性.In this paper, a high accuracy three-layer difference scheme is constructed for the initial boundary value problem of two-dimensional variable-coefficient telegraph equation, which has second order accuracy in time and fourth order accuracy in space. The effectiveness of the above scheme is illustrated by numerical experiments.

关 键 词：电报方程 紧致差分格式 变系数 截断误差 

分 类 号：O241.82[理学—计算数学]