LAUSR

Abstract In this article, we propose an implicit-explicit scheme combining with the fast solver in space to solve two-dimensional nonlinear time-fractional subdiffusion equation. The applications of implicit-explicit scheme and fast solver will smartly enhance the computational efficiency. Due to the non-smoothness (or low regularities) of solutions to fractional differential equations, correction terms are introduced in the proposed scheme to improve the accuracy of error. The stability and convergence of the present scheme are also investigated. Numerical examples are carried out to demonstrate the efficiency and applicability of the derived scheme for both linear and nonlinear fractional subdiffusion equations with non-smooth solutions.