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Numerical solutions to two-dimensional fourth order parabolic thin film equations using the Parabolic Monge-Ampere method.

Authors :
Alharbi, Abdulghani R.
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]

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