A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation

Jinghuai Gao, Dehua Wang and Jigen Peng

Mathematical Problems in Engineering, 2012, vol. 2012, 1-13

Abstract:

An inverse source problem in the modified Helmholtz equation is considered. We give a Tikhonov-type regularization method and set up a theoretical frame to analyze the convergence of such method. A priori and a posteriori choice rules to find the regularization parameter are given. Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:878109

DOI: 10.1155/2012/878109

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