Recovering the Initial Value for a System of Nonlocal Diffusion Equations With Random Noise on the Measurements
| dc.contributor.author | Tran Thanh Binh | |
| dc.contributor.author | Nguyen Duc Phuong | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.contributor.author | Nguyen Anh Triet | |
| dc.date.accessioned | 2022-12-07T12:03:19Z | |
| dc.date.accessioned | 2025-09-18T12:10:19Z | |
| dc.date.available | 2022-12-07T12:03:19Z | |
| dc.date.available | 2025-09-18T12:10:19Z | |
| dc.date.issued | 2021 | |
| dc.description | Phuong, Nguyen Duc/0000-0003-3779-197X | en_US |
| dc.description.abstract | In this work, we study the final value problem for a system of parabolic diffusion equations. In which, the final value functions are derived from a random model. This problem is severely ill-posed in the sense of Hadamard. By nonparametric estimation and truncation methods, we offer a new regularized solution. We also investigate an estimate of the error and a convergence rate between a mild solution and its regularized solutions. Finally, some numerical experiments are constructed to confirm the efficiency of the proposed method. | en_US |
| dc.description.sponsorship | [CS2019-26] | en_US |
| dc.description.sponsorship | On the Cauchy problem for elliptic and parabolic equations, Grant/Award Number: CS2019-26 | en_US |
| dc.identifier.citation | Triet, Nguyen Anh...et al. (2021). "Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements", Mathematical Methods in the Applied Sciences, Vol. 44, No. 6, pp. 5188-5209. | en_US |
| dc.identifier.doi | 10.1002/mma.7102 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85097416378 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7102 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11667 | |
| 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 | Ill‐ | en_US |
| dc.subject | Posed Problem | en_US |
| dc.subject | Nonlocal Diffusion | en_US |
| dc.subject | Random Noise | en_US |
| dc.subject | Regularized Solution | en_US |
| dc.title | Recovering the Initial Value for a System of Nonlocal Diffusion Equations With Random Noise on the Measurements | en_US |
| dc.title | Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Phuong, Nguyen Duc/0000-0003-3779-197X | |
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| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Nguyen, Can/R-4820-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Anh Triet] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam; [Tran Thanh Binh] Sai Gon Univ, Fac Math & Applicat, Ho Chi Minh City, Vietnam; [Nguyen Duc Phuong] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Nguyen Duc Phuong] Vietnam Natl Univ, Ho Chi Minh City, Vietnam; [Nguyen Duc Phuong] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 5209 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 5188 | en_US |
| gdc.description.volume | 44 | en_US |
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| gdc.oaire.keywords | random noise | |
| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | regularized solution | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Nonlinear ill-posed problems | |
| gdc.oaire.keywords | Ill-posed problems for PDEs | |
| gdc.oaire.keywords | nonlocal diffusion | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order parabolic systems | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | final value problem | |
| gdc.oaire.keywords | Semilinear parabolic equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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