On recovering space or time-dependent source functions for a parabolic equation with nonlocal conditions

Kamil Aida-zade and Anar Rahimov

Applied Mathematics and Computation, 2022, vol. 419, issue C

Abstract: The paper studies inverse source problems for a parabolic equation with nonlocal initial and boundary conditions. The specificity of these problems is that the identifiable coefficients depend on only space or time variable. A numerical method for solution to problems is proposed based on reducing the initial problems to the parametric inverse problems with respect to ordinary differential equations using the method of lines. Then, we propose a non-iterative method based on using a special representation of the solutions to the obtained problems. We prove the existence and uniqueness of their solutions, and substantiate the existence of special representation of the solutions to these problems. Computation schemes, formulae, and the results of numerical experiments on test problems are provided.

Keywords: Inverse source problem; Nonlocal condition; Method of lines; Parabolic equation (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321009322
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:419:y:2022:i:c:s0096300321009322

DOI: 10.1016/j.amc.2021.126849

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().