A regularization method for the cauchy problem of the modified Helmholtz equation | Zendy

Cheng Hao | Zendy; Zhu Ping | Zendy; Gao Jie | Zendy

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A regularization method for the cauchy problem of the modified Helmholtz equation

Author(s) -

Cheng Hao,

Zhu Ping,

Gao Jie

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3311

Subject(s) - mathematics , helmholtz equation , regularization (linguistics) , a priori and a posteriori , cauchy problem , cauchy distribution , backus–gilbert method , cauchy's convergence test , helmholtz free energy , mathematical analysis , tikhonov regularization , initial value problem , inverse problem , cauchy boundary condition , regularization perspectives on support vector machines , computer science , boundary value problem , philosophy , epistemology , artificial intelligence , free boundary problem , physics , quantum mechanics

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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