Fixed Point Iteration Method

Author: Damodar Rajbhandari ([email protected])

Main Work

This is my implementation of the Fixed Point iteration algorithm.

Prerequisites

Concept on Fixed Point Iteration Method. If you haven't yet tasted this method,
I have created a presentation in this topic. 

You can find the presentation file at Introduction to Fixed Point Iteration Method and its application. For full fexibility, download the file from there!

Aim

This code fulfilled the aim as, Ask user to input the equivalent 
equation and do all the steps ask by the theory of convergence. 
And, give the solution with desire precision.

MATLAB version

MATLAB R2016a

How Program Works?

Here are the list of steps:
* Ask user to input the equivalent equation.
* This equation is in string. So, we have to declare the variables from that string.
* I declared variable x using syms command from Symbolic Math Toolbox. 
  Now, we need workable equation from that string so that we can differentiate it.
* After differentiation, It will test whether the equation statisfy the convergence 
  theorem of Fixed Point Iteration Method. And then, it will do desire iteration. 

Overview

This code was publicized after presenting the presentation on Introduction to Fixed Point Iteration Method and its application during my B.Sc. Physics 3rd year class at St. Xavier’s College.

Future Work

I have made this program using for loop. If I have free time someday, I will work for reinventing this program using while loop. I will warmly welcome if somebody try to work in while loop using these concepts.

Thanks For Reading!