罗森奥-伯格斯方程初界值问题的二阶收敛差分方案

Pub Date : 2024-07-04 DOI:10.58997/ejde.2024.38

Sitong Dong, Xin Zhang, Yuanfeng Jin

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引用次数: 0

摘要

我们基于阶次缩减法，为罗森诺-伯格斯方程的初始边界值问题构建了一个两级隐式非线性有限差分方案。我们讨论了差分方案的守恒性、唯一可解性和收敛性。新方案在时间和空间上都具有二阶收敛性。最后，数值模拟说明了我们的理论分析。更多信息，请参见 https://ejde.math.txstate.edu/Volumes/2024/38/abstr.html。

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A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation

We construct a two-level implicit nonlinear finite difference scheme for the initial boundary value problem of Rosenau-Burgers equation based on the method of order reduction. We discuss conservation, unique solvability, and convergence for the difference scheme. The new scheme is shown to be second-order convergent in time and space. Finally, numerical simulations illustrate our theoretical analysis. For more information see https://ejde.math.txstate.edu/Volumes/2024/38/abstr.html

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