TY - JOUR
T1 - Reduced Basis Finite Element Methods for the Korteweg-de Vries-Burgers Equation
AU - Piao , Guang-Ri
AU - Yao , Fuxia
AU - Zhao , Wenju
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 369
EP - 385
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20486.html
KW - Korteweg-de Vries-Burgers, proper orthogonal decomposition, reduced order modeling, error analysis.
AB - <p style="text-align: justify;">In this paper, the B-spline Galerkin finite element method and reduced order method
for the Korteweg-de Vries-Burgers equation are considered. The semi-discrete and the fully discrete
schemes are both provided. The reduced order model of the Korteweg-de Vries-Burgers equation
by using proper orthogonal decomposition are provided. The stability and the error estimates
of the corresponding schemes are then analyzed. Finally, numerical simulations are presented to
show the efficiency of our proposed methods.</p>