Finite Difference Solution to a Nonlinear Time-Fractional Logistic Model

  •  Yuanyuan Yang    
  •  Gongsheng Li    


We set forth a time-fractional logistic model and give an implicit finite difference scheme for solving of the model. The L^2 stability and convergence of the scheme are proved with the aids of discrete Gronwall inequality, and numerical examples are presented to support the theoretical analysis.

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