摘要
给出了求解一维波动方程的显式有限差分外推法,证明了该方法是四阶方法.通过三个数值算例,验证了该方法的精确性和有效性.
Based on the extrapolation principle and explicit finite difference scheme of one dimensional wave equation, an accelerated method is formed and proved to be fourth-order. The effectiveness and accuracy of this method are verified through three numerical examples.
出处
《山东师范大学学报（自然科学版）》
CAS
2016年第3期6-9,共4页
Journal of Shandong Normal University(Natural Science)
基金
山东省自然科学基金资助项目(ZR2014AM033)
关键词
波动方程
显式差分外推法
收敛阶
截断误差
wave equation
explicit extrapolation method of finite difference
convergence order
truncation errors
