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Numerical solutions to two-dimensional fourth order parabolic thin film equations using the Parabolic Monge-Ampere method.
- Source :
- AIMS Mathematics; 2023, Vol. 8 Issue 7, p1-16, 16p
- Publication Year :
- 2023
-
Abstract
- This article presents the Parabolic-Monge-Ampere (PMA) method for numerical solutions of two-dimensional fourth-order parabolic thin film equations with constant flux boundary conditions. We track the PMA technique, which employs special functions to acclimate and force the mesh moving associated with the physical PDE representing the thin liquid film equation. The accuracy and convergence of the PMA approach are investigated numerically using a one two-dimensional problem. Comparing the results of this method to the uniform mesh finite difference scheme, the computing effort is reduced. [ABSTRACT FROM AUTHOR]
- Subjects :
- THIN films
LIQUID films
FINITE differences
SPECIAL functions
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 163931273
- Full Text :
- https://doi.org/10.3934/math.2023841