Positivity Preserving Interpolation by Using Rational Quartic Spline
| dc.contributor.author | Karim, Samsul Ariffin Abdul | |
| dc.contributor.author | Othman, Mahmod | |
| dc.contributor.author | Saaban, Azizan | |
| dc.contributor.author | Ghaffar, Abdul | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Harim, Noor Adilla | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2021-02-08T12:49:40Z | |
| dc.date.accessioned | 2025-09-18T14:09:30Z | |
| dc.date.available | 2021-02-08T12:49:40Z | |
| dc.date.available | 2025-09-18T14:09:30Z | |
| dc.date.issued | 2020 | |
| dc.description | Ghaffar, Abdul/0000-0002-5994-8440 | en_US |
| dc.description.abstract | In this study, a new scheme for positivity preserving interpolation is proposed by using C-1 rational quartic spline of (quartic/quadratic) with three parameters. The sufficient condition for the positivity rational quartic interpolant is derived on one parameter meanwhile the other two are free parameters for shape modification. These conditions will guarantee to provide positive interpolating curve everywhere. We tested the proposed positive preserving scheme with four positive data and compared the results with other established schemes. Based on the graphical and numerical results, we found that the proposed scheme is better than existing schemes, since it has extra free parameter to control the positive interpolating curve. | en_US |
| dc.description.sponsorship | Universiti Teknologi PETRONAS (UTP) [FRGS/1/2018/STG06/UTP/03/1/015MA0-020]; Ministry of Education, Malaysia [FRGS/1/2018/STG06/UTP/03/1/015MA0-020]; Prince Sattam bin Abdulaziz University, Saudi Arabia | en_US |
| dc.description.sponsorship | The authors would like to acknowledge Universiti Teknologi PETRONAS (UTP) and Ministry of Education, Malaysia for the financial support received in the form of a research grant: FRGS/1/2018/STG06/UTP/03/1/015MA0-020 and the author K.S. Nisar thanks to the Prince Sattam bin Abdulaziz University, Saudi Arabia for providing facilities and support. | en_US |
| dc.identifier.citation | Harim, Noor Adilla...et al. (2020). "Positivity preserving interpolation by using rational quartic spline", AIMS Mathematics, Vol. 5, No. 4, pp. 3762-3782. | en_US |
| dc.identifier.doi | 10.3934/math.2020244 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85087410774 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2020244 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13414 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Positivity | en_US |
| dc.subject | Rational Quartic Spline | en_US |
| dc.subject | Shape-Preserving | en_US |
| dc.subject | C-1 Continuity | en_US |
| dc.subject | Positive Data | en_US |
| dc.title | Positivity Preserving Interpolation by Using Rational Quartic Spline | en_US |
| dc.title | Positivity preserving interpolation by using rational quartic spline | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ghaffar, Abdul/0000-0002-5994-8440 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57218322889 | |
| gdc.author.scopusid | 36161979400 | |
| gdc.author.scopusid | 57216700868 | |
| gdc.author.scopusid | 16246417400 | |
| gdc.author.scopusid | 57220518546 | |
| gdc.author.scopusid | 56715663200 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Othman, Mahmod/Aaq-4450-2020 | |
| gdc.author.wosid | Nisar, Kottakkaran/F-7559-2015 | |
| gdc.author.wosid | Karim, Samsul/Aay-4129-2020 | |
| gdc.author.wosid | Ghaffar, Abdul/Aab-3751-2020 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Harim, Noor Adilla; Karim, Samsul Ariffin Abdul; Othman, Mahmod] Univ Teknol PETRONAS, Fundamental & Appl Sci Dept, Seri Iskandar 32610, Perak Dr, Malaysia; [Karim, Samsul Ariffin Abdul] Univ Teknol PETRONAS, Ctr Smart Grid Energy Res CSMER, Inst Autonomous Syst, Seri Iskandar 32610, Perak Dr, Malaysia; [Saaban, Azizan] Univ Utara Malaysia, Sch Quantitat Sci, UUMCAS, Sintok 06010, Kedah, Malaysia; [Ghaffar, Abdul] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City 700000, Vietnam; [Ghaffar, Abdul] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 700000, Vietnam; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan | en_US |
| gdc.description.endpage | 3782 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3762 | en_US |
| gdc.description.volume | 5 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3016798529 | |
| gdc.identifier.wos | WOS:000532484000064 | |
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| gdc.openalex.normalizedpercentile | 0.83 | |
| gdc.opencitations.count | 11 | |
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| gdc.plumx.scopuscites | 13 | |
| gdc.scopus.citedcount | 13 | |
| gdc.wos.citedcount | 9 | |
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