Accurate and Efficient Spectral Method for Fractional Wave Equations

Recently, variable-order nonlocal models have gained a lot of attention in the study of heterogeneous media. However, their numerical studies still remain scant, and the main challenges are from their nonlocality and heterogeneity. In this talk, I will present a Fourier pseudospectral method for solving the variable-order fractional wave equation. For constant-order wave equations, the fast Fourier transforms can be used for their efficient implementation.