Abstract
Explicit, implicit-explicit and Crank-Nicolson implicit-explicit numerical schemes for solving the generalized lubrication equation are derived. We prove that the implicit-explicit and Crank-Nicolson implicit-explicit numerical schemes are unconditionally stable. Numerical solutions obtained from both schemes are compared. Initial curves with both zero and finite contact angles are considered.
Original language | English |
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Pages (from-to) | 2631-2638 |
Number of pages | 8 |
Journal | Applied Mathematics and Computation |
Volume | 217 |
Issue number | 6 |
DOIs | |
Publication status | Published - 15 Nov 2010 |
Externally published | Yes |
Keywords
- Crank-Nicolson
- Generalized lubrication
- Thin film
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics