DE Sinc-Chebyshev collocation method for a class of time fractional advection-diffusion equations

چکیده مقاله

In This paper, a new version of Sinc-Chebyshev collocation method based on Double Exponential (DE) transformation is implemented for a class of space-time fractional advection-diffusion equations on a bounded domain that involve temporal Caputo derivative of order . The approach is based on the collocation technique where the shifted Chebyshev polynomials in time and the DE Sinc functions in space are employed, respectively. The problem is reduced to the solution of a system of linear algebraic equations.