| 用格林函数叠加法求解椭圆型微分方程边值问题 |
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| 引用本文： | 沈玉凤,许英姿.用格林函数叠加法求解椭圆型微分方程边值问题[J].山东理工大学学报,1997(4). |
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| 作者姓名： | 沈玉凤 许英姿 |
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| 作者单位： | 山东工程学院汽车工程系 |
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| 摘 要： | 本文提出了一种求解椭圆型微分方程边值问题的数值方法——格林函数叠加法.根据椭圆型微分方程的格林函数,分别采用直接求解和最小二乘法推导了其求解方程和离散求解方程.算例表明了本文方法的可靠性.
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| 关 键 词： | 椭圆型微分方程 数值方法 格林函数 最小二乘法 |
Solving Boundary Value Problem for Elliptic Partial Differential Equations by Green Function Superposition Method |
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| Shen Yufeng XuYingzi.Solving Boundary Value Problem for Elliptic Partial Differential Equations by Green Function Superposition Method[J].Journal of Shandong University of Technology:Science and Technology,1997(4). |
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| Authors: | Shen Yufeng XuYingzi |
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| Institution: | Department of Automobile Engineering |
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| Abstract: | This paper proposed numerical method-Green function superposition method which could be used to solve boundary value problem of elliptic partial differential equations. Based on the Green function for elliptic differential equations, resolving equation and discrete resolving equation for this problem could be derived by directly solving or least square method respectively. Computation example showed that this method would bring about higher efficient and accurate results. |
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| Keywords: | Elliptic differential equation Numerical method Green function The least equate method |
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