Central difference regularization method for the Cauchy problem of the Laplace’s equation
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摘要
In this paper, we consider the Cauchy problem for the Laplace’s equation where the Cauchy data is given at x = 0 and the solution is sought in the interval 0 < x < 1. A semi-discrete difference schemes together with a choice of regularization parameter is presented and error estimate is obtained. A numerical example shows that the method works effectively.
论文关键词：Ill-posed problem,Cauchy problem of Laplace’s equation,Difference regularization,Regularization parameter,Error estimate
论文评审过程：Available online 10 March 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.01.056
