Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions
This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made....
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/9/1479 |
| _version_ | 1797503850660233216 |
|---|---|
| author | Ebru Ozbilge Fatma Kanca Emre Özbilge |
| author_facet | Ebru Ozbilge Fatma Kanca Emre Özbilge |
| author_sort | Ebru Ozbilge |
| collection | DOAJ |
| description | This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method. |
| first_indexed | 2024-03-10T03:56:16Z |
| format | Article |
| id | doaj.art-1289a5c0166841fda823e864660698c9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:56:16Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1289a5c0166841fda823e864660698c92023-11-23T08:44:59ZengMDPI AGMathematics2227-73902022-04-01109147910.3390/math10091479Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary ConditionsEbru Ozbilge0Fatma Kanca1Emre Özbilge2Department of Mathematics & Statistics, American University of the Middle East, Egaila 54200, KuwaitFaculty of Engineering and Architecture, Fenerbahçe University, Istanbul 34758, TurkeyDepartment of Computer Engineering, Faculty of Engineering, Cyprus International University, North Cyprus, Mersin 10, Nicosia 99258, TurkeyThis article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.https://www.mdpi.com/2227-7390/10/9/1479fractionaldifferential equationnonlocalboundary conditionsinverse problemnumerical method |
| spellingShingle | Ebru Ozbilge Fatma Kanca Emre Özbilge Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions Mathematics fractional differential equation nonlocal boundary conditions inverse problem numerical method |
| title | Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions |
| title_full | Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions |
| title_fullStr | Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions |
| title_full_unstemmed | Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions |
| title_short | Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions |
| title_sort | inverse problem for a time fractional parabolic equation with nonlocal boundary conditions |
| topic | fractional differential equation nonlocal boundary conditions inverse problem numerical method |
| url | https://www.mdpi.com/2227-7390/10/9/1479 |
| work_keys_str_mv | AT ebruozbilge inverseproblemforatimefractionalparabolicequationwithnonlocalboundaryconditions AT fatmakanca inverseproblemforatimefractionalparabolicequationwithnonlocalboundaryconditions AT emreozbilge inverseproblemforatimefractionalparabolicequationwithnonlocalboundaryconditions |