A Novel Time Efficient Structure-Preserving Splitting Method for the Solution of Two-Dimensional Reaction-Diffusion Systems
| dc.contributor.author | Korkmaz, Alper | |
| dc.contributor.author | Rafiq, M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alshomrani, Ali Saleh | |
| dc.contributor.author | Rehman, M. A. | |
| dc.contributor.author | Iqbal, M. S. | |
| dc.contributor.author | Ahmed, Nauman | |
| dc.date.accessioned | 2021-01-19T12:34:13Z | |
| dc.date.accessioned | 2025-09-18T12:49:32Z | |
| dc.date.available | 2021-01-19T12:34:13Z | |
| dc.date.available | 2025-09-18T12:49:32Z | |
| dc.date.issued | 2020 | |
| dc.description | Ahmed, Nauman/0000-0003-1742-585X; Ur-Rehman, Aziz-/0009-0007-4185-7675; Iqbal, Muhammad Sajid/0000-0001-6929-8093; Rafiq, Muhammad/0000-0002-2165-3479 | en_US |
| dc.description.abstract | In this article, the first part is concerned with the important questions related to the existence and uniqueness of solutions for nonlinear reaction-diffusion systems. Secondly, an efficient positivity-preserving operator splitting nonstandard finite difference scheme (NSFD) is designed for such a class of systems. The presented formulation is unconditionally stable as well as implicit in nature and even time efficient. The proposed NSFD operator splitting technique also preserves all the important properties possessed by continuous systems like positivity, convergence to the fixed points of the system, and boundedness. The proposed algorithm is implicit in nature but more efficient in time than the extensively used Euler method. | en_US |
| dc.identifier.citation | Ahmed, Nauman...et al. (2020). "A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02659-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85085129536 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02659-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12389 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Operator Splitting Finite Difference Scheme | en_US |
| dc.subject | Reaction-Diffusion Models | en_US |
| dc.subject | Positivity | en_US |
| dc.subject | Numerical Simulations | en_US |
| dc.title | A Novel Time Efficient Structure-Preserving Splitting Method for the Solution of Two-Dimensional Reaction-Diffusion Systems | en_US |
| dc.title | A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ahmed, Nauman/0000-0003-1742-585X | |
| gdc.author.id | Ur-Rehman, Aziz-/0009-0007-4185-7675 | |
| gdc.author.id | Iqbal, Muhammad Sajid/0000-0001-6929-8093 | |
| gdc.author.id | Rafiq, Muhammad/0000-0002-2165-3479 | |
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| gdc.author.wosid | Rafiq, Muhammad/Gnw-5095-2022 | |
| gdc.author.wosid | Korkmaz, Alper/A-8037-2012 | |
| gdc.author.wosid | Alshomrani, Ali/Q-4236-2017 | |
| gdc.author.wosid | Ahmed, Nauman/Abb-8662-2020 | |
| gdc.author.wosid | Rehman, Muhammad/Abd-5004-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Iqbal, Muhammad/I-7992-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmed, Nauman; Rehman, M. A.] Univ Management & Technol, Dept Math, Lahore, Pakistan; [Korkmaz, Alper] CAKU, Dept Math, Cankiri, Turkey; [Rafiq, M.] Univ Cent Punjab, Fac Engn, Lahore, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Fac Arts & Sci, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Alshomrani, Ali Saleh] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia; [Ahmed, Nauman; Iqbal, M. S.] Univ Lahore, Dept Math & Stat, Lahore, Pakistan | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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