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.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.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/20.500.12416/10783 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Poland Sp Z O O | en_US |
| dc.relation.ispartof | Open Physics | |
| 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 | |
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| 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 | |
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| 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 |
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| gdc.description.startpage | 112 | en_US |
| gdc.description.volume | 18 | en_US |
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| gdc.oaire.keywords | advection | |
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| gdc.oaire.keywords | diffusion | |
| gdc.oaire.keywords | structure preserving | |
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