Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties

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dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRaza, Ali
dc.date.accessioned2024-12-24T19:25:23Z
dc.date.available2024-12-24T19:25:23Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, the stochastic form of the Newell-Whitehead-Segel equation has been investigated. This is a fully nonlinear partial differential equation and has huge applications. The nonlinearity of the underlying problem leads to the fact that one has to do the nonlinear analysis of the problem. So, firstly this article describes the regularity of the solution in the context of existing theory and a new approach has been applied to show the existence of the solution and corresponding explicit a-priori estimates of the Schauder type have been proposed. Secondly, in the next part, we have proposed two numerical schemes for the solution of the underlying problem and both schemes are very fighting for consistency and stability. The obtained numerical results are reliable, time-efficient, and very much adjacent to the exact state of the unknown function. (c) 2022 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.cam.2022.114618
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-85135928874
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cam.2022.114618
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6392
dc.identifier.volume418
dc.identifier.wosWOS:000848644900005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStochastic Newell-Whitehead-Segel
dc.subjectUnique existence
dc.subjectNovel schemes
dc.subjectConsistency
dc.subjectStability and numerical simulations
dc.titleNumerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties
dc.typeArticle

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