A second-order accurate numerical method for the two-dimensional fractional diffusion equation

Journal of Computational Physics

Volumn 220, Issue 2, 2007, Pages 813-823

  Tadjeran, Charles ^a   Meerschaert, Mark M ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Alternating direction implicit methods; Extrapolated Crank Nicolson method; Numerical solution for superdiffusion; Second order accurate method for fractional diffusion; Two dimensional fractional partial differential equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; EXTRAPOLATION; FLOW OF FLUIDS; PARTIAL DIFFERENTIAL EQUATIONS;

ALTERNATING-DIRECTION IMPLICIT METHOD; CRANK-NICOLSON METHODS; EXTRAPOLATED CRANK-NICOLSON METHOD; FRACTIONAL DIFFUSION; FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; NUMERICAL SOLUTION FOR SUPERDIFFUSION; SECOND ORDERS; SECOND-ORDER ACCURATE METHOD FOR FRACTIONAL DIFFUSION; SUPERDIFFUSION; TWO-DIMENSIONAL; TWO-DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION;

FINITE DIFFERENCE METHOD;

EID: 33845628108     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.05.030     Document Type: Article

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