| 非齐次热传导方程的隐式差分方法（I） |
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| 引用本文： | 田振夫.非齐次热传导方程的隐式差分方法（I）[J].河南师范大学学报(自然科学版),1996(1). |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学应用数学研究所 |
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| 基金项目： | 宁夏自治区教委自然科学基金 |
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| 摘 要： | 本文针对非齐次热传导方程提出了一种数值求解的两层三点隐式差分方法，所得格式精度分别达到Ｏ（Ｋ＋ｈ２）、Ｏ（Ｋ２＋ｋｈ２＋ｈ２）和Ｏ（Ｋ２＋ｋｈ２＋ｈ４），并通过数值算例进行了检验。
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| 关 键 词： | 热传导方程 隐式差分方法 非齐次方程 |
Implicit Finite Difference Method for Inhomgoneous Heat Conduction Equation |
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| Tian Zhenfu.Implicit Finite Difference Method for Inhomgoneous Heat Conduction Equation[J].Journal of Henan Normal University(Natural Science),1996(1). |
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| Authors: | Tian Zhenfu |
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| Abstract: | Three new two-level implicit finite difference methods with excellent stability are developed for inhomgoneous heat conduction equation in this paper. Results are included for theO(k h2),O(k2 kh2 h2) and O(k2 kh2 h4) methods.Numerical example is given to illustrate behaviorof the present method. |
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| Keywords: | heat conduction equation implicit difference method inhomgoneous equation |
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