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Pure Mathematics 2020
非线性延迟波动方程的两类差分格式
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Abstract:
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。
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.
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