| 二维抛物型方程简单实用的显格式 |
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| 引用本文： | 吴鸿禄 吴冬生. 二维抛物型方程简单实用的显格式[J]. 纯粹数学与应用数学, 1995, 11(2): 86-88 |
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| 作者姓名： | 吴鸿禄 吴冬生 |
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| 作者单位： | 河北大学 |
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| 摘 要： | 提出了一个解二维抛的型方程初边值问题的简单实用的显格式，证明了其截断误差阶是Ｏ，稳定性条件是α＋β≠１／２且ｍａｘ｛α，β｝≤１／４，其中，α＝α．Δｔ／Δｘ＾２．β＝α．Δｔ／Δｙ＾２。
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| 关 键 词： | 显式差分格式 抛物型方程 差分格式 稳定性 |
THE SIMPLE PRACTICAL EXPLICIT DIFFERENCE SCHEME FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF 2-DIMENSION |
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| Wu Honglu, Wu Dongsheng, Sun Yuzhi. THE SIMPLE PRACTICAL EXPLICIT DIFFERENCE SCHEME FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF 2-DIMENSION[J]. Pure and Applied Mathematics, 1995, 11(2): 86-88 |
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| Authors: | Wu Honglu Wu Dongsheng Sun Yuzhi |
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| Abstract: | In this paper, a simple practical explicit three-level differencing scheme for two-dimensional parabolic partial differential equation is considered. For the discussed scheme, the order of local truncation error is, and the stability condition is and max, where |
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| Keywords: | two-dimensional parabolic partial differential equation three level explicit difference scheme separation of variables |
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