| 非线性热传导方程混合问题插值逼近 |
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| 引用本文： | 王天军,李清,殷艳红.非线性热传导方程混合问题插值逼近[J].航空计算技术,2012(2):1-3,12. |
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| 作者姓名： | 王天军 李清 殷艳红 |
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| 作者单位： | 河南科技大学数学与统计学院,河南洛阳471003 |
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| 基金项目： | 国家自然科学基金项目资助（11171227）; 河南省教育厅自然科学基金项目资助（2011B110014）; 河南科技大学博士启动基金项目资助（09001263） |
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| 摘 要： | 以Legendre-Gauss-type积分节点为插值节点,构造插值基函数展开数值解,逼近有界杆上的非线性热传导方程Dirichlet边界条件的正确解。给出算法格式和相应的数值算例,表明所提算法格式的有效性和高精度。所给算法适合于非线性问题求解。
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| 关 键 词： | 非线性热传导方程 Dirichlet边值问题 Legendre-Gauss-type节点 Lagrange插值逼近 |
Interpolation Approximation of Mixed Problem of Nonlinear Heat Transfer |
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| WANG Tian-jun,LI Qing,YIN Yan-hong.Interpolation Approximation of Mixed Problem of Nonlinear Heat Transfer[J].Aeronautical Computer Technique,2012(2):1-3,12. |
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| Authors: | WANG Tian-jun LI Qing YIN Yan-hong |
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| Institution: | (College of Mathematics ＆ Statistics,Henan University of Science ＆ Technology,Luoyang 471003,China) |
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| Abstract: | This paper deals with the numerical solutions of mixed problem of nonlinear heat transfer with Dirichlet boundary conditions on bounded interval.Legendre-Gauss-type nodes are used to construct the degree Lagrange interpolation polynomial to approximate the solution of nonlinear heat transfer.Efficient algorithms is mplemented.Numerical results demonstrate its efficiency and high accuracy of this approach.Especially,it is much easier to deal with nonlinear heat transfer.The proposed method is also applicable to other nonlinear problems defined on certain bounded domains. |
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| Keywords: | nonlinear heat transfer initial-boundary value problem Legendre-Gauss-type nodes lagrange interpolation approximation |
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