Recovering the Source Term for Parabolic Equation With Nonlocal Integral Condition
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Tran Thanh Phong | |
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Nguyen Duc Phuong | |
| dc.date.accessioned | 2022-12-07T12:03:26Z | |
| dc.date.accessioned | 2025-09-18T16:07:31Z | |
| dc.date.available | 2022-12-07T12:03:26Z | |
| dc.date.available | 2025-09-18T16:07:31Z | |
| dc.date.issued | 2021 | |
| dc.description | Phuong, Nguyen Duc/0000-0003-3779-197X | en_US |
| dc.description.abstract | The main purpose of this article is to present a Tikhonov method to construct the source function f(x) of the parabolic diffusion equation. This problem is well known to be severely ill-posed. Therefore, regularization is required. The error estimates between the sought solution and the regularized solution are obtained under an a priori parameter choice rule and an a posteriori parameter choice rule, respectively. One numerical test illustrates that the proposed method is feasible and effective. | en_US |
| dc.description.sponsorship | Industrial University of Ho Chi Minh City (IUH) [66/HD-DHCN] | en_US |
| dc.description.sponsorship | Industrial University of Ho Chi Minh City (IUH), Grant/Award Number: 66/HD-DHCN | en_US |
| dc.identifier.citation | Duc Phuong, Nguyen...et al. (2021). "Recovering the source term for parabolic equation with nonlocal integral condition", Mathematical Methods in the Applied Sciences, Vol. 44, No. 11, pp. 9026-9041. | en_US |
| dc.identifier.doi | 10.1002/mma.7331 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85103245951 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7331 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14777 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Convergence Estimates | en_US |
| dc.subject | Fractional Pseudo‐ | en_US |
| dc.subject | Parabolic Problem | en_US |
| dc.subject | Ill‐ | en_US |
| dc.subject | Posed Problem | en_US |
| dc.subject | Inverse Problem | en_US |
| dc.title | Recovering the Source Term for Parabolic Equation With Nonlocal Integral Condition | en_US |
| dc.title | Recovering the source term for parabolic equation with nonlocal integral condition | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Phuong, Nguyen Duc/0000-0003-3779-197X | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Duc Phuong] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Tran Thanh Phong; Le Dinh Long] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City 820000, Binh Duong Prov, Vietnam | en_US |
| gdc.description.endpage | 9041 | en_US |
| gdc.description.issue | 11 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 9026 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Smoothness and regularity of solutions to PDEs | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order parabolic equations | |
| gdc.oaire.keywords | convergence estimates | |
| gdc.oaire.keywords | inverse problem | |
| gdc.oaire.keywords | fractional pseudo-parabolic problem | |
| gdc.oaire.keywords | ill-posed problem | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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