Comparative study of fractional Newell-Whitehead-Segel equation using optimal auxiliary function method and a novel iterative approach
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Aip Publishing
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This research explores the solution of the time-fractional Newell-Whitehead-Segel equation using two separate methods: the optimal auxiliary function method and a new iterative method. The Newell-Whitehead-Segel equation holds significance in modeling nonlinear systems, particularly in delineating stripe patterns within two-dimensional systems. Employing the Caputo fractional derivative operator, we address two case study problems pertaining to this equation through our proposed methods. Comparative analysis between the numerical results obtained from our techniques and an exact solution reveals a strong alignment. Graphs and tables illustrate this alignment, showcasing the effectiveness of our methods. Notably, as the fractional orders vary, the results achieved at different fractional orders are compared, highlighting their convergence toward the exact solution as the fractional order approaches an integer. Demonstrating both interest and simplicity, our proposed methods exhibit high accuracy in resolving diverse nonlinear fractional order partial differential equations. (c) 2024 Author(s).
Açıklama
Anahtar Kelimeler
Kaynak
Aip Advances
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
14
Sayı
3
