%0 Journal Article
%T 非线性延迟波动方程的两类差分格式<br>Two Difference Schemes for Nonlinear Wave Equations with Delay
%A 陈景良
%A 邓定文
%J Pure Mathematics
%P 508-517
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.105062
%X <p align=\"justify\">
	本文对一类非线性延迟波动方程建立了两类显式差分格式。运用能量法，证明了在最大模意义下它们在时、空方向上均有二阶收敛率。数值结果验证了算法的精度和有效性。<br />
This study is concerned with numerical solutions of delayed wave equations by explicit finite dif-ference methods. By using the discrete energy method, it is shown that both of them are temporally and spatially second-order convergent in maximum norm. Numerical findings confirm the accuracy and efficiency of the algorithms.
</p>
%K 非线性延迟波动方程，显式差分方法，收敛性<br>Nonlinear Wave Equation with Delay
%K Explicit Difference Methods
%K Convergence
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35615