Open AccessThree Weighted Residuals Methods for Solving the Nonlinear Thin Film Flow Problem
Author(s) -
Areej Salah Mohammed,
M. A. AL-Jawary
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022096
Subject(s) - method of mean weighted residuals , galerkin method , collocation (remote sensing) , residual , nonlinear system , mathematics , remainder , collocation method , flow (mathematics) , runge–kutta methods , algorithm , mathematical analysis , computer science , numerical analysis , differential equation , geometry , arithmetic , physics , ordinary differential equation , quantum mechanics , machine learning
In this paper, the methods of weighted residuals: Collocation Method (CM), Least Squares Method (LSM) and Galerkin Method (GM) are used to solve the thin film flow (TFF) equation. The weighted residual methods were implemented to get an approximate solution to the TFF equation. The accuracy of the obtained results is checked by calculating the maximum error remainder functions (MER). Moreover, the outcomes were examined in comparison with the 4 th -order Runge-Kutta method (RK4) and good agreements have been achieved. All the evaluations have been successfully implemented by using the computer system Mathematica®10.