| 抛物型方程的一个新的高精度恒稳定的隐式差分格式 |
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| 引用本文： | 马明书,李改弟. 抛物型方程的一个新的高精度恒稳定的隐式差分格式[J]. 数学的实践与认识, 2001, 31(3): 365-368 |
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| 作者姓名： | 马明书 李改弟 |
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| 作者单位： | 河南师范大学数学系 |
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| 摘 要： | 本文用待定参数法对一维抛物型方程构造出一个截断误差为 0 (△ t3+△ x6)的隐式差分格式 ,格式绝对稳定且可用追赶法求解 .
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| 关 键 词： | 一维抛物型方程 高精度 绝对稳定 隐式差分格式 |
| 修稿时间： | 1999-07-02 |
A New High Accuracy and Absolutely Stable Implicit Difference Schemes for Solving Parabolic Equations |
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| MA Ming-shu, LI Gai-di. A New High Accuracy and Absolutely Stable Implicit Difference Schemes for Solving Parabolic Equations[J]. Mathematics in Practice and Theory, 2001, 31(3): 365-368 |
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| Authors: | MA Ming-shu LI Gai-di |
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| Abstract: | This paper presents a implicit difference schemes for solving parabolic equation of one-dimension. The local truncation error for methos is 0(△t 3+△x 6), these schemes are absolutely stable and can be easily solved by double sweeping method. |
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| Keywords: | one-dimension parabolic high accuracy absolutely stable implicit difference scheme |
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