Finite Difference Solution to a Nonlinear Time-Fractional Logistic Model

Yuanyuan Yang and Gongsheng Li

Journal of Mathematics Research, 2021, vol. 13, issue 2, 60

Abstract: 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.

Date: 2021
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