Numerical investigation of the generalized lubrication equation

E. Momoniat, C. Harley, E. Adlem

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)2631-2638
Number of pages8
JournalApplied Mathematics and Computation
Volume217
Issue number6
DOIs
Publication statusPublished - 15 Nov 2010
Externally publishedYes

Keywords

  • Crank-Nicolson
  • Generalized lubrication
  • Thin film

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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