Abstract
This paper considers the boundary-value inverse heat conduction problem with steady boundary. To solve this problem, different approaches based on the Laplace and Fourier transforms are proposed. Application of the Laplace transform makes it possible to obtain an operator equation describing the explicit dependence of the desired boundary-value function on the initial data at the other boundary. This approach to solving the problem is used for the first time. The method based on the direct and inverse Fourier transforms with respect to the time variable provides stable solutions. The estimation of error of these solutions is the best with respect to the order. The range of application of each of the proposed methods and the stability of the solutions obtained by these methods was evaluated by a computational experiment.
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 callSimilar Papers
More From: Inverse Problems in Science and Engineering
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.
