Two numerical methods for a Cauchy problem for modified Helmholtz equation

Xiangtuan Xiong; Wanxia Shi; Xiaoyan Fan

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Two numerical methods for a Cauchy problem for modified Helmholtz equation

机译：修正的Helmholtz方程Cauchy问题的两种数值方法

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摘要

We consider a Cauchy problem for the modified Helmholtz equation. A conditional stability estimate is proved. Two order optimal regularization methods and error estimates are investigated. Numerical experiment shows that these methods work well.

机译：对于修正的亥姆霍兹方程，我们考虑了柯西问题。证明了条件稳定性估计。研究了二阶最优正则化方法和误差估计。数值实验表明，这些方法效果良好。

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来源
《Applied Mathematical Modelling》 |2011年第10期|p.4951-4964|共14页
作者
Xiangtuan Xiong; Wanxia Shi; Xiaoyan Fan;
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作者单位

Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People's Republic of China;

Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People's Republic of China;

Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People's Republic of China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
ill-posed; stability estimate; quasi-boundary condition; regularization; error estimate;

机译：不适稳定性评估;准边界条件正规化;误差估计;
入库时间 2022-08-18 03:00:09

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Two numerical methods for a Cauchy problem for modified Helmholtz equation

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