科研之友
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摘要
New numerical techniques are presented for the solution of the two-dimensional fractional diffusion-wave equation with a time fractional derivative of order alpha (1 < alpha < 2). In these methods, Galerkin finite element is used for the spatial discretization, and, for the time stepping, new alternating direction implicit (ADI) method based on the Crank-Nicolson method are considered. The unconditional stability and L-2 norm convergence of the ADI scheme are proved rigorously. Numerical results are presented to support our theoretical analysis.
