An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method

Sakar M. G., Saldır O., Erdoğan F.

COMPUTATIONAL & APPLIED MATHEMATICS, cilt.37, sa.5, ss.5951-5964, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40314-018-0672-9
  • Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5951-5964
  • Anahtar Kelimeler: Caputo derivative, Cahn-Allen equation, Reproducing kernel method, Convergence, 35R11, 46E22
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, we construct a novel iterative approach that depends on reproducing kernel method for Cahn-Allen equation with Caputo derivative. Representation of solution and convergence analysis are presented theoretically. Numerical results are given as tables and graphics with intent to show efficiency and power of method. The results demonstrate that approximate solution uniformly converges to exact solution for Cahn-Allen equation with fractional derivative.