Regularized Solution for Nonlinear Elliptic Equations With Random Discrete Data
| dc.contributor.author | Nguyen Huy Tuan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Nguyen Duc Phuong | |
| dc.date.accessioned | 2020-02-12T07:11:42Z | |
| dc.date.accessioned | 2025-09-18T12:49:36Z | |
| dc.date.available | 2020-02-12T07:11:42Z | |
| dc.date.available | 2025-09-18T12:49:36Z | |
| dc.date.issued | 2019 | |
| dc.description | Phuong, Nguyen Duc/0000-0003-3779-197X; Nguyen Huy, Tuan/0000-0002-6962-1898 | en_US |
| dc.description.abstract | The aim of this paper is to study the Cauchy problem of determining a solution of nonlinear elliptic equations with random discrete data. A study showing that this problem is severely ill posed in the sense of Hadamard, ie, the solution does not depend continuously on the initial data. It is therefore necessary to regularize the in-stable solution of the problem. First, we use the trigonometric of nonparametric regression associated with the truncation method in order to offer the regularized solution. Then, under some presumption on the true solution, we give errors estimates and convergence rate in L-2-norm. A numerical example is also constructed to illustrate the main results. | en_US |
| dc.description.sponsorship | Industrial University of Ho Chi Minh City, Vietnam [183, CB03] | en_US |
| dc.description.sponsorship | Industrial University of Ho Chi Minh City, Vietnam, Grant/Award Number: Grant No. 183.CB03 | en_US |
| dc.identifier.citation | Nguyen Duc Phuong; Nguyen Huy Tuan...et al. (2019). "Regularized solution for nonlinear elliptic equations with random discrete data", Mathematical Methods in the Applied Sciences, Vol. 42, No. 18, pp. 6829-6848. | en_US |
| dc.identifier.doi | 10.1002/mma.5789 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85070311973 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5789 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12422 | |
| 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-Posed Problem | en_US |
| dc.subject | Nonlinear Elliptic | en_US |
| dc.subject | Random Noise | en_US |
| dc.subject | Regularized Solution | en_US |
| dc.title | Regularized Solution for Nonlinear Elliptic Equations With Random Discrete Data | en_US |
| dc.title | Regularized solution for nonlinear elliptic equations with random discrete data | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Phuong, Nguyen Duc/0000-0003-3779-197X | |
| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
| gdc.author.scopusid | 57209410617 | |
| gdc.author.scopusid | 17347203900 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 59158404900 | |
| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Nguyen, Tuan/C-6183-2015 | |
| gdc.author.wosid | Nguyen, Sa/C-4845-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| 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 City, Vietnam; [Nguyen Huy Tuan] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Magurele, Romania; [Nguyen Hoang Luc] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam | en_US |
| gdc.description.endpage | 6848 | en_US |
| gdc.description.issue | 18 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 6829 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2967452533 | |
| gdc.identifier.wos | WOS:000481265700001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Cauchy problem | |
| gdc.oaire.keywords | Heat equation | |
| gdc.oaire.keywords | nonlinear elliptic equation | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | random discrete data | |
| gdc.oaire.keywords | Nonlinear elliptic equations | |
| gdc.oaire.popularity | 1.181496E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.2 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 0 | |
| gdc.publishedmonth | 12 | |
| gdc.scopus.citedcount | 0 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 0 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |