A two-level fourth-order approach for time-fractional convection–diffusion–reaction equation with variable coefficients

This paper develops a two-level fourth-order scheme for solving time-fractional convection–diffusion–reaction equation with variable coefficients subjects to suitable initial and boundary conditions. The basis properties of the new approach are investigated both stability error estimates proposed numerical deeply analyzed in L∞(0,T;L2)-norm. theory indicates that method is unconditionally stable convergence order O(k2−λ2+h4), where k h time step mesh size, respectively, λ∈(0,1). result suggests procedure more efficient than large class techniques widely studied literature considered problem. Some evidences provided verify unconditional rate algorithm.