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A regularization method for the cauchy problem of the modified Helmholtz equation
Authors:Hao Cheng  Ping Zhu  Jie Gao
Affiliation:School of Science, Jiangnan University, Jiangsu Province, China
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.
Keywords:cauchy problem of the modified Helmholtz equation  regularization  error estimate  a posteriori parameter choice rule  numerical test
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