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- W2947054911 abstract "This paper deals with two fractional Crank–Nicolson–Galerkin finite element schemes for coupled time-fractional nonlinear diffusion system. The first scheme is iterative and is based on Newton’s method, while the other one is a linearized scheme. Existence-uniqueness results of the fully discrete solution for both schemes are discussed. In addition, a priori bounds and a priori error estimates are derived for proposed schemes using a new discrete fractional Grönwall-type inequality. Both the schemes yield $$O({varDelta } t^2)$$ accuracy in time and hence, superior to $$O({varDelta } t^{2-alpha })$$ accurate L1 scheme existing in the literature. Moreover, three different numerical examples are provided to illustrate the theoretical estimates ." @default.
- W2947054911 created "2019-06-07" @default.
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- W2947054911 date "2019-05-27" @default.
- W2947054911 modified "2023-09-26" @default.
- W2947054911 title "Galerkin finite element schemes with fractional Crank–Nicolson method for the coupled time-fractional nonlinear diffusion system" @default.
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- W2947054911 doi "https://doi.org/10.1007/s40314-019-0889-2" @default.
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