| 高阶抛物型偏微分方程的一个高精度差分格式 |
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| 引用本文： | 蒋菊霞,王波. 高阶抛物型偏微分方程的一个高精度差分格式[J]. 平原大学学报, 2008, 0(4) |
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| 作者姓名： | 蒋菊霞 王波 |
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| 作者单位： | 新乡学院数学系;三门峡职业技术学院机电工程系; |
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| 摘 要： | 用待定系数法给出了解高阶抛物型偏微分方程初边值问题的三层差分格式,此格式的截断误差为O(τ2+h6),且格式在η<0,r≤[-10(m-6η)2+360(η-1)2+17m-360]/[180(1-2η)4m]时稳定。
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| 关 键 词： | 抛物型方程 截断误差 稳定性 |
A High Accuracy Differencing Scheme for Solving the Parabolic Partial Differential Equation |
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| JIANG Ju-xia,WANG Bo. A High Accuracy Differencing Scheme for Solving the Parabolic Partial Differential Equation[J]. Journal of Pingyuan University, 2008, 0(4) |
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| Authors: | JIANG Ju-xia WANG Bo |
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| Affiliation: | JIANG Ju-xia1,WANG Bo2(1.Department of Mathematics,Xinxiang University,Xinxiang,453003,China,2.Mechanical ,Electrical engineering Department of Sanmenxia Polytechinc,Sanmenxia 472000,China) |
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| Abstract: | |
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| Keywords: | parabolic differential equation truncation error stability |
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