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- W2912063580 abstract "The theoretical analysis (convergence and stability) of an L2−1σ difference method is presented for nonlinear time-fractional diffusion equations with multiple delays. In this communication, we state and prove a new discrete form of a fundamental fractional Gronwall inequality. For the problems under consideration, that result and the L2−1σ formula are the cornerstones to the establishment of the optimal error estimates of our fully discrete linear difference scheme. Our numerical simulations confirm the validity of the theoretical findings. Moreover, both the analytical and the numerical results demonstrate superior rates of convergence when compared to similar methods of the literature." @default.
- W2912063580 created "2019-02-21" @default.
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- W2912063580 date "2019-07-01" @default.
- W2912063580 modified "2023-10-16" @default.
- W2912063580 title "A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations" @default.
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- W2912063580 doi "https://doi.org/10.1016/j.cnsns.2019.02.005" @default.
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