Solution of nonlinear equations using Mann iteration

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 3

Abstract

In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples. Finally, we obtain the solution of nonlinear equations of the form using Mann iteration.

Authors and Affiliations

Tawfik M. Younis Elmasry

Keywords

Related Articles

HPM for Solving the Time-fractional Coupled Burgers Equations

In this paper, the homotopy perturbation method is implemented to derive the explicit approximate solutions for the time-fractional coupled Burger's equations. The including fractional derivative is in the Caputo sense....

Comparative Linear Classification Splicing

The conventional Fisher linear classification analysis has been investigated by numerous researchers and this has led to different modification or splicing due to non- robustness when the assumptions are violated and als...

THE f-NORM; A GENERALIZATION OF THE NORM OF FUNCTIONAL ANALYSIS

A generalisation,  f-norm, of the concept of norm as defined in Functional Analysis is introduced.  The norm of λx is |λ|times the norm of x .  In the definiton of the  f-norm, this requirement is r...

A Parametric Approach for Solving Interval–Valued fractional Continuous Static Games

The aim of this paper is to show that a parametric approach can be used to solve fractional continuous static games with interval-valued in the objective function and in the constraints. In this game, cooperation among a...

Further Acceleration of the Simpson Method for Solving Nonlinear Equations

There are two aims of this paper, firstly, we present an improvement of the classical Simpson third-order method for finding zeros a nonlinear equation and secondly, we introduce a new formula for approximating second-or...

Download PDF file
  • EP ID EP651222
  • DOI 10.24297/jam.v5i3.3687
  • Views 191
  • Downloads 0

How To Cite

Tawfik M. Younis Elmasry (2014). Solution of nonlinear equations using Mann iteration. JOURNAL OF ADVANCES IN MATHEMATICS, 5(3), 723-730. https://europub.co.uk/articles/-A-651222