A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
The authors develop a compact difference scheme for the fourth-order fractional sub-diffusion equation. The approach combines the formula to approximate the time Caputo fractional derivative together with compact operator techniques to approximate the spatial fourth-order derivative. The authors deduce the unconditional stability and convergence of the numerical scheme by discrete energy methods. Numerical experiments are also presented in order to support the theoretical findings.
fourth-order fractional sub-diffusion equation
scientific article; zbMATH DE number 6808530
scientific article