二维Burgers方程的分裂高阶有限差分方法
The Splitting High-Order Finite Difference Method of Two-Dimensional Burgers Equation
DOI: 10.12677/PM.2021.111004, PDF,  被引量    科研立项经费支持
作者: 马佳琪, 王 博：中国民航大学理学院，天津
关键词: Burgers方程；有限差分方法；收敛性；稳定性；Burgers Equations； Finite Difference Method； Convergence； Stability
摘要: 本文主要研究了二维Burgers方程的分裂高阶差分方法，利用能量的方法，证明了所提出的差分格式在时间上具有二阶收敛率以及在空间上具有四阶收敛率。数值结果验证了算法的精度和有效性。
Abstract: The study is concerned with the splitting higher-order finite difference method of two-dimensional Burgers equation. By using the energy method, the proposed difference scheme is proved to have the second-order convergence rate in time and the fourth-order convergence rate in space. The accuracy and efficiency of the algorithm are verified by numerical findings.
文章引用：马佳琪, 王博. 二维Burgers方程的分裂高阶有限差分方法[J]. 理论数学, 2021, 11(1): 22-31. https://doi.org/10.12677/PM.2021.111004

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