3 papers
math.NA2026
Temporal Two-Grid Compact Difference Scheme for Benjamin-Bona-Mahony-Burgers Equation
Lisen Ding, Xiangyi Peng, Dongling Wang
This paper proposes a temporal two-grid compact difference (TTCD) scheme for solving the Benjamin-Bona-Mahony-Burgers (BBMB) equation with initial and periodic boundary conditions.…
math.NA2025
An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation
Xiangyi Peng, Lisen Ding, Wenlin Qiu
This work proposes an efficient space-time two-grid compact difference (ST-TGCD) scheme for solving the two-dimensional (2D) viscous Burgers' equation subject to initial and period…
math.NA2025
High-order discretization errors for the Caputo derivative in Hölder spaces
Xiangyi Peng, Lisen Ding, Dongling Wang
Building upon the recent work of Teso and Plociniczak (2025) regarding L1 discretization errors for the Caputo derivative in Hölder spaces, this study extends the analysis to high…