Anisotropic non-linear time-fractional diffusion equation with a source term: Classification via Lie point symmetries, analytic solutions and numerical simulation
作者：
Highlights：
• Symmetry analysis on the general form of the anisotropic nonlinear time-fractional diffusion equation is done.
• Classification of the symmetries with respect to equivalence transformations is given.
• Some reduced forms are constructed by obtained symmetries.
• Invariant subspace method is applied in order to find new exact solutions.
• A numerical simulation based on fractional Chebyshev pseudospectral is given.
摘要
•Symmetry analysis on the general form of the anisotropic nonlinear time-fractional diffusion equation is done.•Classification of the symmetries with respect to equivalence transformations is given.•Some reduced forms are constructed by obtained symmetries.•Invariant subspace method is applied in order to find new exact solutions.•A numerical simulation based on fractional Chebyshev pseudospectral is given.
论文关键词：Fractional diffusion,Equivalence transformation,Symmetry,Exact solution,Chebyshev pseudo-spectral method
论文评审过程：Received 30 January 2020, Revised 18 June 2020, Accepted 21 August 2020, Available online 12 September 2020, Version of Record 12 September 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125652
