$Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian$

Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian

In this paper, we develop two fast implicit difference schemes for solving a class of variable‐coefficient time–space fractional diffusion equations with integral fractional Laplacian (IFL). The proposed schemes utilize the graded L1 formula for the Caputo fractional derivative and a special finite...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2021-01, Vol.44 (1), p.441-463
Hauptverfasser:	Gu, Xian‐Ming, Sun, Hai‐Wei, Zhang, Yanzhi, Zhao, Yong‐Liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Caputo derivative circulant preconditioner Computing costs Diffusion rate Discretization Finite difference method Finite element method fractional diffusion equations integral fractional Laplacian Integrals Iterative methods Krylov subspace solvers Linear systems Mathematical analysis Matrix methods Stability analysis
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