A Spectral Galerkin Method with Hybrid Müntz–Jacobi Basis for Space–Time Fractional Advection–Diffusion Equations
For the numerical treatment of space-time fractional advection-diffusion equations, we designed a spectral Galerkin method. We construct the approximation space using a hybrid system of Müntz-Jacobi basis functions, combining the stability and orthogonality properties of Jacobi polynomials and the singularity-resolving...