An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation

Hao Cheng, Ping Zhu and Jie Gao

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

A regularization method for solving the Cauchy problem of the Helmholtz equation is proposed. The a priori and a posteriori rules 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:917972

DOI: 10.1155/2014/917972

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