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Novel Numerical Analysis for Nonlinear Advection-Reaction Systems

dc.contributor.author Ahmed, Nauman
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alshomrani, Ali Saleh
dc.contributor.author Iqbal, Muhammad Sajid
dc.contributor.author Rehman, Muhammad Aziz-ur
dc.contributor.author Malik, Muhammad Rafiq
dc.contributor.author Shahid, Naveed
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 2021-02-08T12:49:35Z
dc.date.accessioned 2025-09-18T12:06:01Z
dc.date.available 2021-02-08T12:49:35Z
dc.date.available 2025-09-18T12:06:01Z
dc.date.issued 2020
dc.description Shahid, Naveed/0000-0001-9025-2102; Iqbal, Muhammad Sajid/0000-0001-6929-8093; Ur-Rehman, Aziz-/0009-0007-4185-7675; Ahmed, Nauman/0000-0003-1742-585X; Rafiq, Muhammad/0000-0002-2165-3479 en_US
dc.description.abstract In this article, a numerical model for a Brusselator advection-reaction-diffusion (BARD) system by using an elegant numerical scheme is developed. The consistency and stability of the proposed scheme is demonstrated. Positivity preserving property of the proposed scheme is also verified. The designed scheme is compared with the two well-known existing classical schemes to validate the certain physical properties of the continuous system. A test problem is also furnished for simulations to support our claim. Prior to computations, the existence and uniqueness of solutions for more generic problems is investigated. In the underlying system, the nonlinearities depend not only on the desired solution but also on the advection term that reflects the pivotal importance of the study. en_US
dc.description.publishedMonth 1
dc.identifier.citation Shahid, Naveed...et al. (2020). "Novel numerical analysis for nonlinear advection-reaction-diffusion systems", Open Physics, Vol. 18, No. 1, pp. 112-125. en_US
dc.identifier.doi 10.1515/phys-2020-0011
dc.identifier.issn 2391-5471
dc.identifier.scopus 2-s2.0-85085477837
dc.identifier.uri https://doi.org/10.1515/phys-2020-0011
dc.identifier.uri https://hdl.handle.net/123456789/10783
dc.language.iso en en_US
dc.publisher de Gruyter Poland Sp Z O O en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Advection en_US
dc.subject Diffusion en_US
dc.subject Reaction en_US
dc.subject Consistency en_US
dc.subject Stability en_US
dc.subject Structure Preserving en_US
dc.subject Equi-Continuity en_US
dc.title Novel Numerical Analysis for Nonlinear Advection-Reaction Systems en_US
dc.title Novel numerical analysis for nonlinear advection-reaction-diffusion systems tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Shahid, Naveed/0000-0001-9025-2102
gdc.author.id Iqbal, Muhammad Sajid/0000-0001-6929-8093
gdc.author.id Ur-Rehman, Aziz-/0009-0007-4185-7675
gdc.author.id Ahmed, Nauman/0000-0003-1742-585X
gdc.author.id Rafiq, Muhammad/0000-0002-2165-3479
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 57216950096
gdc.author.scopusid 57210525245
gdc.author.scopusid 7005872966
gdc.author.scopusid 56901415600
gdc.author.scopusid 57683996200
gdc.author.scopusid 57212548674
gdc.author.scopusid 57529563500
gdc.author.wosid Rehman, Muhammad/Abd-5004-2020
gdc.author.wosid Alshomrani, Ali/Q-4236-2017
gdc.author.wosid Shaikh, Tahira/Hmo-7061-2023
gdc.author.wosid Ahmed, Nauman/Abb-8662-2020
gdc.author.wosid Rafiq, Muhammad/Gnw-5095-2022
gdc.author.wosid Iqbal, Muhammad/I-7992-2015
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Shahid, Naveed; Ahmed, Nauman; Rehman, Muhammad Aziz-ur] Univ Management & Technol, Dept Math, Lahore, Pakistan; [Shahid, Naveed; Ahmed, Nauman; Iqbal, Muhammad Sajid] Univ Lahore, Dept Math & Stat, Lahore, Pakistan; [Alshomrani, Ali Saleh] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia; [Shaikh, Tahira Sumbal] Lahore Coll Women Univ, Dept Math, Lahore, Pakistan; [Malik, Muhammad Rafiq] Univ Cent Punjab, Fac Engn, Lahore, Pakistan en_US
gdc.description.endpage 125 en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 112 en_US
gdc.description.volume 18 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q3
gdc.identifier.openalex W3028923296
gdc.identifier.wos WOS:000537664000001
gdc.openalex.fwci 1.4957405
gdc.openalex.normalizedpercentile 0.82
gdc.opencitations.count 9
gdc.plumx.crossrefcites 1
gdc.plumx.mendeley 9
gdc.plumx.scopuscites 13
gdc.scopus.citedcount 13
gdc.wos.citedcount 11
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