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A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient
- Source :
- Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019)
- Publication Year :
- 2019
- Publisher :
- SpringerOpen, 2019.
-
Abstract
- Abstract In this paper, an efficient finite element scheme is presented for a class of fourth-order nonlinear parabolic problems with variable coefficient. To deal with second-order term in weak formulation, we choose the cubic B-spline function as a trial function. Rigorous error estimates are derived for both semi-discrete and fully-discrete schemes. We provide a numerical example to confirm our theoretical results.
Details
- Language :
- English
- ISSN :
- 16871847
- Volume :
- 2019
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6ba58e6acacf4bdf91df9273f4faa27b
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13662-019-2032-5