| 高维热传导方程的高精度分支显格式 |
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| 引用本文： | 马明书,马菊意,谷淑敏.高维热传导方程的高精度分支显格式[J].数学季刊,2008,23(3). |
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| 作者姓名： | 马明书 马菊意 谷淑敏 |
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| 摘 要： | A high-order accuracy explicit difference scheme for solving 4-dimensional heatconduction equation is constructed.The stability condition is r = △t/△x2 = △t/△y2 = △t/△]z2 = △t/△w2＜3/8,and the truncation error is O(△t2 △x4).
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| 关 键 词： | 高维热传导方程 高精度 分支显格式 抛物型方程 |
A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation |
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| MA Ming-shu MA Ju-yi GU Shu-min ZHU Lin-lin.A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation[J].Chinese Quarterly Journal of Mathematics,2008,23(3). |
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| Authors: | MA Ming-shu MA Ju-yi GU Shu-min ZHU Lin-lin |
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| Institution: | [1]College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007,China [2]Anyang Institute of Technology, Anyang 455000, China |
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| Abstract: | |
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| Keywords: | heat-conduction equation explicit difference scheme high-order accuracy branching stability |
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