@Article{IJNAM-18-5,
author = {Zhang, Hui and Yang, Xiaofeng and Zhang, Jun},
title = {Stabilized Invariant Energy Quadratization (S-IEQ) Method for the Molecular Beam Epitaxial Model Without Slope Section},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2021},
volume = {18},
number = {5},
pages = {642--655},
abstract = {<p style="text-align: justify;">The design of numerical approaches for the molecular beam epitaxy models has
always been a hot issue in numerical analysis, in which one of the main challenges for algorithm
design is how to establish a high-order time-accurate numerical method with unconditional energy
stability. The numerical method developed in this paper is based on the “stabilized-Invariant
Energy Quadratization” (S-IEQ) approach. Its novelty is that by adding a very simple linear
stabilization term, the difficulty that the original energy potential for the no-slope selection case
is not bounded from below can be easily overcome. Then by using the standard format of the
IEQ method, we can easily obtain a linear, unconditionally energy stable, and second-order time
accurate scheme for solving the system. We further implement various numerical examples to
demonstrate the stability and accuracy of the proposed scheme.</p>},
issn = {2617-8710},
doi = {https://doi.org/2021-IJNAM-19386},
url = {https://global-sci.com/article/82994/stabilized-invariant-energy-quadratization-s-ieq-method-for-the-molecular-beam-epitaxial-model-without-slope-section}
}