A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient

被引：0
|
作者：
Dandan Qin
Jiawei Tan
Bo Liu
Wenzhu Huang
机构：
[1] Aviation University of Air Force,Fundamental Department
[2] Jilin University,College of Mathematics
[3] Changchun University of Technology,School of Mathematics and Statistics
[4] Guizhou Medical University,School of Biology and Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
B-spline; Finite element method; Nonlinear parabolic equation; Variable coefficient; Boundedness;
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摘要：
In this paper, we propose an efficient B-spline finite element method for a class of fourth order nonlinear differential equations with variable coefficient. For the temporal discretization, we choose the Crank–Nicolson scheme. Boundedness and error estimates are rigorously derived for both semi-discrete and fully discrete schemes. A numerical experiment confirms our theoretical analysis.
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