5 papers
Long-time stability and convergence analysis of an IMEX BDF3 scheme for 2-D incompressible Navier-Stokes equation
Kelong Cheng, Jingwei Sun, Hong Zhang
High-order time-stepping schemes are crucial for simulating incompressible fluid flows due to their ability to capture complex turbulent behavior and unsteady motion. In this work,…
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
Kelong Cheng, Cheng Wang, Steven M. Wise
In this paper we propose and analyze an energy stable numerical scheme for the square phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic s…
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
Kelong Cheng, Zhonghua Qiao, Cheng Wang
In this paper we propose and analyze a (temporally) third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epita…
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
Kelong Cheng, Wenqiang Feng, Cheng Wang +1
In this paper we propose and analyze an energy stable numerical scheme for the Cahn-Hilliard equation, with second order accuracy in time and the fourth order finite difference app…
An Efficient Finite Difference Scheme for the 2D Sine-Gordon Equation
Xiaorong Kang, Wenqiang Feng, Kelong Cheng +1
We present an efficient second-order finite difference scheme for solving the 2D sine-Gordon equation, which can inherit the discrete energy conservation for the undamped model the…