| 求解一类偏微分方程的新算法 |
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| 引用本文： | 周永芳,顾娟.求解一类偏微分方程的新算法[J].黑龙江科技学院学报,2008,18(5). |
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| 作者姓名： | 周永芳 顾娟 |
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| 作者单位： | 黑龙江科技学院,数力系,哈尔滨,150027 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 在再生核空间中讨论一类偏微分方程的求解问题.通过构造一组完全规范正交函数系,得到偏微分方程的精确解的级数表达式.截断级数得到偏微分方程的近似解.近似解一致收敛于精确解,且近似解的导数一致收敛于精确解的导数.数值结果表明该方法是有效的.
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| 关 键 词： | 偏微分方程 再生核空间 精确解 |
New algorithm for solving a class of partial differential equations |
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| ZHOU Yongfang,GU Juan.New algorithm for solving a class of partial differential equations[J].Journal of Heilongjiang Institute of Science and Technology,2008,18(5). |
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| Authors: | ZHOU Yongfang GU Juan |
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| Institution: | ZHOU Yongfang,GU Juan(Department of mathematics , mechanics,Heilongjiang Institute of Science , Technology,Harbin 150027,China) |
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| Abstract: | This paper introduces the construction of a complete orthonormal function system and a method for solving a class of partial differential equations in the reproducing kernel space.The paper describes both the exact solution obtained in the form of series and the approximate solution obtained by truncating the series representation of the exact solution.The approximate solution and its derivatives converge uniformly to the exact solution and its derivatives.Numerical examples demonstrate the applicability an... |
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| Keywords: | partial differential equation reproducing kernel space exact solution |
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