Title :
Modified regularization method for a Cauchy problem of the Laplace equation
Author :
Mao, Jianfeng ; Wang, Guangfu
Author_Institution :
Dept. of Math. & Statististics, Xianning Univ., Xianning, China
Abstract :
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.
Keywords :
Laplace equations; Cauchy problem; Laplace equation; error estimation; modified regularization method; Approximation methods; Equations; Laplace equations; Mathematical model; Measurement errors; Measurement uncertainty;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765204
