Abstract
The paper discusses the inverse problem of determining an unknown source term in a fractional elliptic equation from measured internal data. In order to solve the considered problem, a modified quasi-boundary value method is used. Applying this method a regularized solution is constructed. An a priori and a posteriori error estimates between the exact solu- tion and its regularized approximation are obtained. A brief analysis is conducted to clarify the relationship between the suggested regularization method and several standard methods. Moreover, numerical results are presented in the one-dimensional case and two-dimensional case to illustrate the accuracy and efficiency of this method.
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 callMore From: Eurasian Journal of Mathematical and Computer Applications
Disclaimer: 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.
