Numerical Approximation of the Fractional Rayleigh–Stokes Problem Arising in a Generalised Maxwell Fluid

This paper presents a numerical technique to approximate the Rayleigh–Stokes model for generalised Maxwell fluid formulated in Riemann–Liouville sense. The proposed method consists of two stages. First, time discretization problem is accomplished by using finite difference. Second, space obtained means predictor–corrector method. unconditional stability result and convergence analysis are analysed theoretically. Numerical examples provided verify feasibility accuracy