Title of article
An optimal filtering method for the Cauchy problem of the Helmholtz equation
Author/Authors
Cheng، نويسنده , , Hao and Fu، نويسنده , , Chu-Li and Feng، نويسنده , , Xiao-Li، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
958
To page
964
Abstract
In this paper, we consider a Cauchy problem for the Helmholtz equation in a rectangle. An optimal filtering method is presented for approximating the solution of this problem, and the Hِlder type error estimate is obtained. Numerical illustration shows that the method works effectively.
Keywords
Filtering regularization , error estimate , Ill-posed problem , Cauchy problem for the Helmholtz equation
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527881
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