@article{Huang2023, 
author = {Diandian Huang and Xin Huang and Tingting Qin and Yongtao Zhou},
title = {A transformed    L  1 Legendre-Galerkin spectral method for time fractional Fokker-Planck equations},
year = {2023},
journal = {Networks and Heterogeneous Media},
volume = {18},
number = {2},
pages = {799-812},
keywords = {time fractional Fokker-Planck equations, error estimate, Legendre-Galerkin spectral method, transformed L1 scheme, change of variable},
url = {https://www.sciopen.com/article/10.3934/nhm.2023034},
doi = {10.3934/nhm.2023034},
abstract = {The numerical solutions of time    α-order    (  α  ∈  (  0  ,  1  )  ) Caputo fractional Fokker-Planck equations is considered. The constructed method is consist of the transformed    L  1 (   T  L  1) scheme in the temporal direction and the Legendre-Galerkin spectral method in the spatial direction. It has been shown that the    T  L  1 Legendre-Galerkin spectral method in        L    2  -norm is exponential order convergent in space and (   2  −  α)-th order convergent in time. Several numerical examples are given to verify the obtained theoretical results.}
}