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- W4220762885 abstract "In this paper, efficient methods are derived for seeking a numerical solution to the time-fractional convection–diffusion equation whose solution very likely exhibits a weak regularity at the starting time. Here, the time-fractional derivative in the Caputo sense with order in (0,1) is discretized by the L2-1σ methods with uniform and non-uniform meshes and the spatial derivative is approximated by the local discontinuous Galerkin (LDG) finite element methods. The fully discrete schemes for both situations are established and analyzed. It is shown that the derived schemes are numerically stable and convergent. Finally, some numerical examples are performed to testify the effectiveness of the obtained algorithm." @default.
- W4220762885 created "2022-04-03" @default.
- W4220762885 creator A5065058975 @default.
- W4220762885 date "2022-03-30" @default.
- W4220762885 modified "2023-09-29" @default.
- W4220762885 title "High-order numerical algorithms for the time-fractional convection–diffusion equation" @default.
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- W4220762885 doi "https://doi.org/10.1080/00207160.2022.2056697" @default.
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