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math.AP2022
High Order Compact Finite Difference Methods for Non-Fickian Flows in Porous Media
Xuan Zhao, Ziyan Li, Xiaoli Li
In this work, fourth-order compact block-centered finite difference (CBCFD) schemes combined with the Crank-Nicolson discretization are constructed and analyzed for solving parabol…
math.AP2019
The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn-Hilliard equation
Zhengguang liu, Aijie Cheng, Xiaoli Li
Comparing with the classical local gradient flow and phase field models, the nonlocal models such as nonlocal Cahn-Hilliard equations equipped with nonlocal diffusion operator can…