| 求解一类Helmholtz方程Cauchy问题的中心差分正则化方法 |
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| 引用本文： | 钱爱林,毛建峰,桂咏新.求解一类Helmholtz方程Cauchy问题的中心差分正则化方法[J].应用数学学报,2011,34(2). |
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| 作者姓名： | 钱爱林 毛建峰 桂咏新 |
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| 作者单位： | 咸宁学院数学与统计学院,咸宁,437100 |
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| 基金项目： | 湖北省优秀创新团队项目，湖北省教育厅中青年基金 |
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| 摘 要： | Helmholtz方程Cauchy问题是严重不适定问题,本文我们在一个带形区域上考虑了一类Helmholtz方程Cauchy问题:已知Cauchy数据u(0,y)=g(y),在区间0＜x＜1上求解.我们用半离散的中心差分方法得到了这一问题的正则化解,给出了正则化参数的选取规则,得到了误差估计.
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| 关 键 词： | 不适定问题 Helmholtz方程Cauchy问题 中心差分方法 正则化 |
Central Difference Regularization Method for the Cauchy Problem of the Helmholtz Equation |
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| QIAN AILIN,MAO JIANFENG,GUI YONGXIN.Central Difference Regularization Method for the Cauchy Problem of the Helmholtz Equation[J].Acta Mathematicae Applicatae Sinica,2011,34(2). |
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| Authors: | QIAN AILIN MAO JIANFENG GUI YONGXIN |
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| Institution: | QIAN AILIN MAO JIANFENG GUI YONGXIN (Department of Mathematics and Statistics,Xianning College,Xianning 437100) |
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| Abstract: | The Cauchy problem of Helmholtz equation is severely ill-posed problem.In this paper,we consider the Cauchy problem for the Helmholtz equation where the Cauchy data is given at x = 0 and the solution is sought in the interval 0
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| Keywords: | ill-posed problems Cauchy problem of Helmholtz equation central difference regularization |
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