A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient

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 deri...

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Bibliographic Details
Main Authors: Dandan Qin, Yanwei Du, Bo Liu, Wenzhu Huang
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2032-5