Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations

Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
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DOI:
10.1137/0717025
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发表时间:
1978-12
影响因子:
2.9
通讯作者:
J. Varah
J. Varah
中科院分区:
数学2区
文献类型:
--
作者:
J. Varah

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本文所讨论的二阶格式是一种易于使用的格式,它很容易应用于非线性方程。我们使用线性稳定性分析来研究这种格式的稳定性限制,并说明它们在Burgers方程上的行为。
In this paper we are concerned with second order schemes which are easy to use, and apply readily to nonlinear equations. We examine the stability restrictions for such schemes using linear stability analysis, and illustrate their behaviour on Burgers'' equation.