Abstract:
We propose a new efficient spectral collocation method for solving a time fractional sub-diffusion
equation on a semi-infinite domain. The shifted Chebyshev-Gauss-Radau interpolation method is
adapted for time discretization along with the Laguerre-Gauss-Radau collocation scheme that is used
for space discretization on a semi-infinite domain. The main advantage of the proposed approach is
that a spectral method is implemented for both time and space discretizations, which allows us to
present a new efficient algorithm for solving time fractional sub-diffusion equations