Numerical Simulation of a Space-Fractional Molecular Beam Epitaxy Model without Slope Selection
In this paper, we introduce a space-fractional version of the molecular beam epitaxy (MBE) model without slope selection to describe super-diffusion in the model. Compared to the classical MBE equation, the spatial discretization is an important issue in the space-fractional MBE equation because of...
Main Author: | Hyun Geun Lee |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-07-01
|
Series: | Fractal and Fractional |
Subjects: | |
Online Access: | https://www.mdpi.com/2504-3110/7/7/558 |
Similar Items
-
Numerical Scheme Based on the Implicit Runge-Kutta Method and Spectral Method for Calculating Nonlinear Hyperbolic Evolution Equations
by: Yasuhiro Takei, et al.
Published: (2022-01-01) -
Explicit- Implicit Runge-Kutta Methods to Solve the System of Nonlinear PPDEs in Two Dimensions
by: Abbas Al-Bayati, et al.
Published: (2012-07-01) -
Adaptive local discontinuous Galerkin methods with semi-implicit time discretizations for the Navier-Stokes equations
by: Xiangyi Meng, et al.
Published: (2022-06-01) -
Conservative finite difference schemes for dynamical systems
by: Yu Ying, et al.
Published: (2022-12-01) -
A survey of pseudo Runge-Kutta methods
by: Francesco Aldo Costabile
Published: (2003-01-01)