An optimal filtering method for the Cauchy problem of the Helmholtz equation |
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Authors: | Hao Cheng Chu-Li Fu Xiao-Li Feng |
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Affiliation: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People’s Republic of China |
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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 Hölder type error estimate is obtained. Numerical illustration shows that the method works effectively. |
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