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- W2939515243 abstract "In the current manuscript, we consider a generalized fractional reaction–diffusion equation. The considered model is based on the time fractional derivative. The developed scheme is based on two procedures. At first, we obtain a semi-discrete scheme for the temporal direction. The time fractional derivative is discretized by using a difference scheme with second-order accuracy. Thus, the final time-discrete formula has second-order accuracy in the temporal direction. Then, we obtain a fully discrete scheme by applying the mixed finite element method (MFEM). For the constructed numerical technique, we prove the unconditional stability and also obtain an error bound for the full-discrete scheme by using the energy method. We employ some test problems to show the accuracy of the proposed technique." @default.
- W2939515243 created "2019-04-25" @default.
- W2939515243 creator A5044309986 @default.
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- W2939515243 date "2019-09-01" @default.
- W2939515243 modified "2023-10-18" @default.
- W2939515243 title "Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction–diffusion equation on nonrectangular domains" @default.
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- W2939515243 doi "https://doi.org/10.1016/j.camwa.2019.03.040" @default.
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