Numerical investigation of the generalized lubrication equation

E. Momoniat; C. Harley; E. Adlem

doi:10.1016/j.amc.2010.08.001

Numerical investigation of the generalized lubrication equation

E. Momoniat, C. Harley, E. Adlem

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2631-2638
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	217
Issue number	6
DOIs	https://doi.org/10.1016/j.amc.2010.08.001
Publication status	Published - 15 Nov 2010
Externally published	Yes

Keywords

Crank-Nicolson
Generalized lubrication
Thin film

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2010.08.001

Cite this

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title = "Numerical investigation of the generalized lubrication equation",

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.",

keywords = "Crank-Nicolson, Generalized lubrication, Thin film",

author = "E. Momoniat and C. Harley and E. Adlem",

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T1 - Numerical investigation of the generalized lubrication equation

AU - Momoniat, E.

AU - Harley, C.

AU - Adlem, E.

PY - 2010/11/15

Y1 - 2010/11/15

N2 - 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.

AB - 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.

KW - Crank-Nicolson

KW - Generalized lubrication

KW - Thin film

UR - https://www.scopus.com/pages/publications/77958007579

U2 - 10.1016/j.amc.2010.08.001

DO - 10.1016/j.amc.2010.08.001

M3 - Article

AN - SCOPUS:77958007579

SN - 0096-3003

VL - 217

SP - 2631

EP - 2638

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 6

ER -

Numerical investigation of the generalized lubrication equation

Abstract

Keywords

ASJC Scopus subject areas

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