A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations
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Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
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Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
We consider the multi-term time fractional diffusion equation on a bounded convex domain. We analyze the L1 method on a graded mesh in time to compensate for the weak singularity of the solution and a weak Galerkin finite element method in space discretization. The stability analyses are presented for both semi-discrete and fully-discrete schemes and we prove that two schemes are unconditionally stable. Error estimates in L2-norm and a discrete H1 equivalent norm for both schemes are rigorously derived. Further we discuss the optimal spatial order error estimates in L2-norm. Finally, we give some numerical experiments to show the efficiency of the proposed method.
Açıklama
Anahtar Kelimeler
Caputo derivative, Graded mesh, L1 methods, Stability, The multi-term time fractional diffusion equations, Weak Galerkin finite-element method
Kaynak
Computers and Mathematics with Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
128
