Sinc-Chebyshev Collocation Method for a Class of Fractional Diffusion-Wave Equations

Abstract EN

This paper is devoted to investigating the numerical solution for a class of fractional diffusion-wave equationswith a variable coefficient where the fractional derivatives are described in the Caputo sense.

The approach is based on the collocation technique where the shifted Chebyshev polynomials in timeand the sinc functions in space are utilized, respectively.

The problem is reduced to the solution of a system of linear algebraic equations.

Through the numerical example, the procedure is tested and the efficiency of the proposed method is confirmed.