Abstract
In this paper, we are concerned with the inverse boundary determination problem from the Cauchy data connected with the Laplace equation in . We proposed a numerical method based on the method of fundamental solution. The major advantage of the invariant method of fundamental solution is keeping a very basic natural property under an invariant condition, i.e. the invariance under trivial coordinate changes in the problem description. This method combines the Tikhonov regularization method with Morozov discrepancy principle to solve an inverse problem. Some examples are given for numerical verification on the efficiency of the proposed method. It is shown that the proposed method is effective and stable even for the data with relatively high noise levels.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
