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math.NA2023★ 1 cited
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang +1
The nonlocality of the fractional operator causes numerical difficulties for long time computation of the time-fractional evolution equations. This paper develops a high-order fast…
math.NA2022
Fast method and convergence analysis of fractional magnetohydrodynamic coupled flow and heat transfer model for generalized second-grade fluid
Xiaoqing Chi, Hui Zhang, Xiaoyun Jiang
In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists…
math.NA2020
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations
Hui Zhang, Fanhai Zeng, Xiaoyun Jiang +1
In 1986, Dixon and McKee developed a discrete fractional Grönwall inequality [Z. Angew. Math. Mech., 66 (1986), pp. 535--544], which can be seen as a generalization of the classica…