拉普拉斯方程Cauchy问题的改进正则化方法

2009 International Conference on Environmental Science and Information Application Technology Pub Date : 2011-03-26 DOI:10.1109/ICIST.2011.5765204

Jian-feng Mao, Guangfu Wang

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引用次数: 0

摘要

本文考虑矩形拉普拉斯方程的柯西问题，其中给出了y = 0时的柯西数据，给出了x = 0和x = π时的边界数据。在区间0 <内求解;Y≤1。提出了一种改进的方法，得到了误差估计。结合修正法，实现了数值求解。数值算例表明，该方法效果良好。

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Modified regularization method for a Cauchy problem of the Laplace equation

In this paper, we consider the Cauchy problem for the Laplace's equation in a rectangle, where the Cauchy data is given for y = 0 and boundary data are given for x = 0 and x = π. The solution is sought in the interval 0 < y ≤ 1. A modified method is presented and error estimate is obtained. Combining the method of modified, we implement the numerical solution. A numerical example shows that the method works well.

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2009 International Conference on Environmental Science and Information Application Technology

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