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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 5
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Articles

The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation

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Pages 991-1004 | Received 08 Aug 2017, Accepted 14 Nov 2017, Published online: 30 Nov 2017
 

ABSTRACT

In this paper, the Cauchy problem of inhomogeneous Helmholtz equation is investigated. This problem is ill-posed and the truncation method is used to solve this inverse problem. Under the a priori and a posteriori parameter choice rules, the error estimates between the regularization solution and the exact solution is obtained, respectively. Numerical examples show that the truncation method works effectively.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The project is supported by the National Natural Science Foundation of China [grant number 11561045], [grant number 11501272]; the Doctor Fund of Lan Zhou University of Technology.

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