期刊论文详细信息
Advances in Difference Equations | |
A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient | |
article | |
Qin, Dandan1  Tan, Jiawei2  Liu, Bo2  Huang, Wenzhu4  | |
[1] Fundamental Department, Aviation University of Air Force;College of Mathematics, Jilin University;School of Mathematics and Statistics, Changchun University of Technology;School of Biology and Engineering, Guizhou Medical University | |
关键词: B-spline; Finite element method; Nonlinear parabolic equation; Variable coefficient; Boundedness; | |
DOI : 10.1186/s13662-020-02629-6 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 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.
【 授权许可】
CC BY
【 预 览 】
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