A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

Toprakseven Ş.

Applied Numerical Mathematics, cilt.168, ss.1-12, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 168
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.apnum.2021.05.021
  • Dergi Adı: Applied Numerical Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Convergence, Numerical experiments, Stability, The time-fractional diffusion, Weak Galerkin finite-element method
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L1 discretization in time and a weak Galerkin finite element method on uniform mesh in space. Both continuous and discrete time weak Galerkin finite element method are considered and analyzed. The stability of the discrete time scheme is proved. The error estimates for both schemes are given. Finally, we give some numerical experiments to show the efficiency of the proposed method.