| 一类椭圆边值问题紧有限差分方法的单调迭代算法 |
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| 引用本文： | 武文佳. 一类椭圆边值问题紧有限差分方法的单调迭代算法[J]. 上海电机学院学报, 2014, 0(5): 283-287 |
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| 作者姓名： | 武文佳 |
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| 作者单位： | 上海电机学院 数理教学部,上海,201306 |
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| 基金项目： | 上海高校青年教师培养资助计划项目资助 |
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| 摘 要： | 对一类二维常系数半线性椭圆边值问题的四阶紧有限差分方法，建立了有效的单调迭代算法，给出相应的收敛性分析，并通过数值实验验证了理论分析的正确性。
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| 关 键 词： | 半线性椭圆边值问题 单调迭代算法 收敛率 |
Monotone Iterative Algorithm of Compact Finite Difference Method for a Class of Ell iptic Boundary Value Problems |
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| WU Wenj ia. Monotone Iterative Algorithm of Compact Finite Difference Method for a Class of Ell iptic Boundary Value Problems[J]. JOurnal of Shanghai Dianji University, 2014, 0(5): 283-287 |
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| Authors: | WU Wenj ia |
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| Affiliation: | WU Wenj ia(Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China) |
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| Abstract: | An effective monotone iterative algorithm is proposed for the fourth-order compact finite difference scheme of a class of two dimensional semi-linear elliptic boundary value problems. We analyze convergence rate of this iterative algorithm,give numerical results to show effective-ness of the algorithm. |
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| Keywords: | semi-linear elliptic boundary value problem monotone iterative algorithm con-vergence rate |
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