A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation. - Ruilian Du; Yubin Yan; Zongqi Liang (J. Comput. Phys., 2019)

A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations. - Zhi-Zhong Sun; Cui-Cui Ji; Ruilian Du (Appl. Math. Lett., 2020)

Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. - Ruilian Du; Anatoly A. Alikhanov; Zhi-Zhong Sun (Comput. Math. Appl., 2020)

Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. - Ruilian Du; Zhi-Zhong Sun (Numer. Algorithms, 2021)

Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations. - Ruilian Du; Zhi-Zhong Sun; Hong Wang (SIAM J. Numer. Anal., 2022)

H3N3-2σ-based difference schemes for time multi-term fractional diffusion-wave equation. - Ruilian Du; Changpin Li; Fang Su; Zhi-Zhong Sun (Comput. Appl. Math., 2024)