Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Stochastic Newell-Whitehead-Segel, Unique existence, Novel schemes, Consistency, Stability and numerical simulations
Kaynak
Journal of Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
418
