A regularization method for the cauchy problem of the modified Helmholtz equation |
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| Authors: | Hao Cheng Ping Zhu Jie Gao |
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| Affiliation: | School of Science, Jiangnan University, Jiangsu Province, China |
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| Abstract: | In the present paper, an iteration regularization method for solving the Cauchy problem of the modified Helmholtz equation is proposed. The a priori and a posteriori rule for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given. The numerical example shows the effectiveness of this method. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | cauchy problem of the modified Helmholtz equation regularization error estimate a posteriori parameter choice rule numerical test |
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