摘要
利用五点中心差分法求波动方程的数值解,与经典的三点中心差分法相比较,提高了数值解的精度,位置变量的精度由二阶提高到四阶,时间变量的精度保持不变。该算法格式清晰,易迭代,易推广以提高波动方程求解的精度。
In this paper,the five-point central difference method was used to find the numerical solution of the wave equation.Compared with the classic three-point central difference method,the accuracy of the numerical solution is improved.The accuracy of the position variable is increased from the second order to the fourth order,and the accuracy of the time variable remains unchanged..The algorithm has a clear format,is easy to iterateand generalize,and can improve the accuracy of wave equation solving.
作者
张琪
ZHANG Qi(Basic Education Department,Shanxi Polytechnic College,Taiyuan 030006,China)
出处
《成都工业学院学报》
2022年第1期71-74,共4页
Journal of Chengdu Technological University
关键词
波动方程
五点中心差分法
数值精度
推导
wave equation
five-point central difference method
numerical accuracy
derivation
