非线性延迟波动方程的两类差分格式
Two Difference Schemes for Nonlinear Wave Equations with Delay
DOI: 10.12677/PM.2020.105062, PDF,  被引量    国家自然科学基金支持
作者: 陈景良, 邓定文：南昌航空大学，数学与信息科学学院，江西 南昌
关键词: 非线性延迟波动方程；显式差分方法；收敛性；Nonlinear Wave Equation with Delay； Explicit Difference Methods； Convergence
摘要: 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。
Abstract: 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.
文章引用：陈景良, 邓定文. 非线性延迟波动方程的两类差分格式[J]. 理论数学, 2020, 10(5): 508-517. https://doi.org/10.12677/PM.2020.105062

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