| 一类椭圆型变系数方程的差分格式 |
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| 引用本文： | 钟婷,陈宗燕,肖雪玲.一类椭圆型变系数方程的差分格式[J].保山师专学报,2010,29(2):57-61. |
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| 作者姓名： | 钟婷 陈宗燕 肖雪玲 |
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| 作者单位： | 内江师范学院,数学与信息科学学院,四川,内江,641112 |
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| 基金项目： | 内江师范学院青年基金，内江师范学院大学牛科学研究课题 |
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| 摘 要： | 研究了一类二阶椭圆型变系数方程的初边值问题的求解方法，建立了一种差分格式，并且运用能量方法证明了这种格式的解的存在唯一性、收敛性和稳定性，所得结果是对相关文献中结果的一个补充。
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| 关 键 词： | 椭圆型方程 差分方法 收敛性 稳定性 |
A Finite Difference Scheme for A Class of Elliptic Differential Equation with Variable Coefficients |
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| Zhong Ting,Chen Zong-yan,Xiao Xue-ling.A Finite Difference Scheme for A Class of Elliptic Differential Equation with Variable Coefficients[J].Journal of Baoshan Teachers' College,2010,29(2):57-61. |
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| Authors: | Zhong Ting Chen Zong-yan Xiao Xue-ling |
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| Institution: | Zhong Ting Chen Zong-yan Xiao Xue-ling(Department of Mathematics and information science in Neijiang Normal University,Neijiang,SiChuan,641112,China) |
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| Abstract: | The initial boundary value problem of a second order elliptic differential equation with variable coefficients is studied.A finite difference scheme is established,and the existence,convergence and stability of this difference scheme is analysised with the apply of the energy method,the result obtained can serve as a complement to the known results in related literatures. |
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| Keywords: | Elliptic Differential Equation finite difference scheme convergence stability |
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