Numerical investigations of stochastic Newell-Whitehead-Segel equation in (2+1) dimensions

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dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorAhmed, Nauman
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAkgul, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRaza, Ali
dc.contributor.authorBaber, Muhammad Zafarullah
dc.date.accessioned2024-12-24T19:29:40Z
dc.date.available2024-12-24T19:29:40Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe stochastic Newell-Whitehead-Segel in (2+1) dimensions is under consideration. It represents the population density or dimensionless temperature and it discusses how stripes appear in temporal and spatial dimensional systems. The Newell-Whitehead-Segel equation (NWSE) has applications in different areas such as ecology, chemical, mechanical, biology and bio-engineering. The important thing is if we see the problem in the two-dimensional (2D) manifold, then the whole 3D picture can be included in the model. The 3D space is embedded compactly in the 2D manifolds. So, 2D problems for the Newell-White-Segel equation are very important because they consider the one, two and three dimensions in it. The numerical solutions of the underlying model have been extracted successfully by two schemes, namely stochastic forward Euler (SFE) and the proposed stochastic nonstandard finite difference (SNSFD) schemes. The existence of the solution is guaranteed by using the contraction mapping principle and Schauder's fixed-point theorem. The consistency of each scheme is proved in the mean square sense. The stability of the schemes is shown by using von Neumann criteria. The SFE scheme is conditionally stable and the SNSFD scheme is unconditionally stable. The efficacy of the proposed methods is depicted through the simulations. The 2D and 3D graphs are plotted for various values of the parameters.
dc.identifier.doi10.1142/S0217979223502612
dc.identifier.issn0217-9792
dc.identifier.issn1793-6578
dc.identifier.issue30
dc.identifier.scopus2-s2.0-85149206142
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0217979223502612
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7198
dc.identifier.volume37
dc.identifier.wosWOS:000937969000003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStochastic reaction-diffusion equation
dc.subjectunique existence
dc.subjectnumerical schemes
dc.subjectsimulations
dc.titleNumerical investigations of stochastic Newell-Whitehead-Segel equation in (2+1) dimensions
dc.typeArticle

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