A Chebyshev-Laguerre Gauss-Radau collocation scheme for solving time fractional sub-diffusion equation on a semi-infinite domain

ملخص البحث

In this paper, we propose a new efficient spectral collocation method for time fractional sub-diffusion equation on a semi-infinite domain. The shifted Chebyshev-Gauss-Radau is adapted for temporal discretization a long with the Laguerre-Gauss-Radau collocation scheme is investigated for spatial discretization on a semi-infinite domain. The main advantage of the proposed method is that a spectral method is implemented for both temporal and spatial discretizations, which allows us to present a new efficient algorithm for solving such problem.

الكلمات المفتاحيه

Time fractional sub-diffusion equation, semi-infinite domain, Chebyshev Gauss-Radau collocation scheme, Laguerre Gauss-Radau collocation scheme, Caputo derivatives