Fourier truncation method for an inverse source problem for space-time fractional diffusion equation
| dc.contributor.author | Tuan, Nguyen Huy | |
| dc.contributor.author | Long, Le Dinh | |
| dc.date.accessioned | 2022-04-20T14:32:37Z | |
| dc.date.available | 2022-04-20T14:32:37Z | |
| dc.date.issued | 2017-05-04 | |
| dc.description.abstract | In this article, we study an inverse problem to determine an unknown source term in a space time fractional diffusion equation, whereby the data are obtained at a certain time. In general, this problem is ill-posed in the sense of Hadamard, so the Fourier truncation method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tuan, N. H., & Long, L. D. (2017). Fourier truncation method for an inverse source problem for space-time fractional diffusion equation. Electronic Journal of Differential Equations, 2017(122), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15676 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional diffusion equation | |
| dc.subject | Cauchy problem | |
| dc.subject | Ill-posed problem | |
| dc.subject | Convergence estimates | |
| dc.title | Fourier truncation method for an inverse source problem for space-time fractional diffusion equation | |
| dc.type | Article |