A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier BV
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Convergence, Numerical experiments, Stability, The time-fractional diffusion, Weak Galerkin finite-element method
Kaynak
Applied Numerical Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
168
Sayı
Künye
Toprakseven, Ş. (2021). A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients. Applied Numerical Mathematics.168, 1-12.
