Structure Preserving Numerical Analysis of Reaction-Diffusion Models
| dc.authorid | Rafiq, Muhammad/0000-0002-2165-3479 | |
| dc.authorid | adel, waleed/0000-0002-0557-8536 | |
| dc.contributor.author | Ahmed, Nauman | |
| dc.contributor.author | Rehman, Muhammad Aziz-ur | |
| dc.contributor.author | Adel, Waleed | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Ali, Mubasher | |
| dc.contributor.author | Rafiq, Muhammad | |
| dc.contributor.author | Akgul, Ali | |
| dc.date.accessioned | 2024-12-24T19:29:49Z | |
| dc.date.available | 2024-12-24T19:29:49Z | |
| dc.date.issued | 2022 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we examine two structure preserving numerical finite difference methods for solving the various reaction-diffusion models in one dimension, appearing in chemistry and biology. These are the finite difference methods in splitting environment, namely, operator splitting nonstandard finite difference (OS-NSFD) methods that effectively deal with nonlinearity in the models and computationally efficient. Positivity of both the proposed splitting methods is proved mathematically and verified with the simulations. A comparison is made between proposed OS-NSFD methods and well-known classical operator splitting finite difference (OS-FD) methods, which demonstrates the advantages of proposed methods. Furthermore, we applied proposed NSFD splitting methods on several numerical examples to validate all the attributes of the proposed numerical designs. | |
| dc.identifier.doi | 10.1155/2022/5128343 | |
| dc.identifier.issn | 2314-8896 | |
| dc.identifier.issn | 2314-8888 | |
| dc.identifier.scopus | 2-s2.0-85127599666 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1155/2022/5128343 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/7250 | |
| dc.identifier.volume | 2022 | |
| dc.identifier.wos | WOS:000790465900002 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Hindawi Ltd | |
| dc.relation.ispartof | Journal of Function Spaces | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.title | Structure Preserving Numerical Analysis of Reaction-Diffusion Models | |
| dc.type | Article |
