Collocation Finite Element Method for the Fractional Fokker–Planck Equation

Karabenli H., ESEN A., UÇAR Y.

International Journal for Numerical Methods in Fluids, cilt.97, sa.3, ss.224-232, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 97 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/fld.5343
  • Dergi Adı: International Journal for Numerical Methods in Fluids
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.224-232
  • Anahtar Kelimeler: collocation finite element method, fractional Fokker–Planck equation, trigonometric quintic B-spline
  • İnönü Üniversitesi Adresli: Evet

Özet

In this study, the approximate results of the fractional Fokker–Planck equations have been investigated. First, finite element schemes have been obtained using collocation finite element method based on the trigonometric quintic B-spline basis functions. Then, the present method is tested on two fundamental problems having appropriate initial conditions. The newly obtained numerical results contained the error norms (Formula presented.) and (Formula presented.) for various temporal and spatial steps are compared with the exact ones and other solutions. More accurate results have been obtained for large numbers of spatial and temporal elements.