A semi-analytical iterative method for solving nonlinear thin film flow problems
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Publication Date
Sat Jul 01 2017
Journal Name
Journal Of King Saud University - Science
(17)
Publication Date
Tue Jan 02 2018
Journal Name
Arab Journal Of Basic And Applied Sciences
(15)
Publication Date
Sat Dec 01 2018
Journal Name
Ain Shams Engineering Journal
(8)
Publication Date
Thu Oct 01 2020
Journal Name
Alexandria Engineering Journal
(9)
Publication Date
Thu Oct 01 2020
Journal Name
Alexandria Engineering Journal
(12)
(9)
Publication Date
Sat Oct 01 2016
Journal Name
International Journal Of Pure And Apllied Mathematics
(11)
Publication Date
Sun Dec 07 2014
Journal Name
Baghdad Science Journal
New Iterative Method for Solving Nonlinear Equations
Nonlinear equation
convergence
three step method
The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five order of convergence. Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods.
Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Three Weighted Residuals Methods for Solving the Nonlinear Thin Film Flow Problem
Abstract<p>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<sup>th</sup>-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.</p>
(1)
Publication Date
Sun Jul 01 2018
Journal Name
Computers & Mathematics With Applications
(24)
Publication Date
Fri Nov 01 2013
Journal Name
Al-nahrain Journal Of Science
Modified third order iterative method for solving nonlinear equations
Many numerical approaches have been suggested to solve nonlinear problems. In this paper, we suggest a new two-step iterative method for solving nonlinear equations. This iterative method has cubic convergence. Several numerical examples to illustrate the efficiency of this method by Comparison with other similar methods is given.