| 一类非线性偏微分方程的数值解法 |
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| 引用本文： | 李云晖,黄永辉,林迎珍.一类非线性偏微分方程的数值解法[J].数学的实践与认识,2011,41(13). |
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| 作者姓名： | 李云晖 黄永辉 林迎珍 |
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| 作者单位： | 1. 哈尔滨学院数学系,黑龙江哈尔滨,150086
2. 哈尔滨工业大学威海分校,山东威海,264209 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(11553057); 黑龙江省自然科学基金(A201012) |
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| 摘 要： | 定义了再生核空间,在再生核空间中给出了一类带初、边值条件的非线性偏微分方程的数值解法,并给出了算法实例.
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| 关 键 词： | 偏微分方程 非线性 再生核 |
A Numerical Solution for a Kind of Nonlinear Partial Differential Equation |
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| LI Yun-hui,HUANG Yong-hui,LIN Ying-zhen.A Numerical Solution for a Kind of Nonlinear Partial Differential Equation[J].Mathematics in Practice and Theory,2011,41(13). |
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| Authors: | LI Yun-hui HUANG Yong-hui LIN Ying-zhen |
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| Institution: | LI Yun-hui~1,HUANG Yong-hui~1,LIN Ying-zhen~2 (1.Deparment of mathematics,Harbin University,Harbin 150086,China) (2.Harbin Institute of Technology,Weihai 264209,China) |
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| Abstract: | In this work,we present an new method for solving a kind of nonlinear partial differential equation in reproducing kernel space.Example is.given to demonstrate the reliability and efficiency of the algorithm developed. |
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| Keywords: | partial differential equation nonlinear reproducing kernel |
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