On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations

Aydin E., ÇİLİNGİR SÜNGÜ İ.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, cilt.13, sa.1, ss.95-106, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.22034/cmde.2024.58461.2472
  • Dergi Adı: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.95-106
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, the time-fractional Newell-Whitehead-Segel (NWS) equation and its different nonlinearity cases are investigated. Schemes obtained by the Newtonian linearization method are used to numerically solve different cases of the time-fractional Newell-Whitehead-Segel (NWS) equation. Stability and convergence conditions of the Newtonian linearization method have been determined for the related equation. The numerical results obtained as a result of the appropriate stability criteria are compared with the help of tables and graphs with exact solutions for different fractional values.