Many students ask me how do I do this or that in MATLAB. So I thought why not have a small series of my next few blogs do that. In this blog, I show you how to solve a nonlinear equation that needs to be set up.
For example to find the depth ‘x’ to which a ball is floating in water is based on the following cubic equation
R= radius of ball
S= specific gravity of ball
So how do we set this up if S and R are input values?
The MATLAB program link is here.
The HTML version of the MATLAB program is here.
%% HOW DO I DO THAT IN MATLAB SERIES?
% In this series, I am answering questions that students have asked
% me about MATLAB. Most of the questions relate to a mathematical
% How do I solve a nonlinear equation if I need to set it up?
% Language : Matlab 2008a;
% Authors : Autar Kaw;
% Mfile available at
% Last Revised : March 28, 2009;
% Abstract: This program shows you how to solve a nonlinear equation
% that needs to set up as opposed that is just given to you.
disp(‘ This program shows you how to solve’)
disp(‘ a nonlinear equation that needs to be setup’)
disp(‘ Autar K Kaw of http://autarkaw.wordpress.com’)
disp(‘ April 17, 2009’)
% Solve the nonlinear equation where you need to set up the equation
% For example to find the depth ‘x’ to which a ball is floating in water
% is based on the following cubic equation
% R= radius of ball
% S= specific gravity of ball
% So how do we set this up if S and R are input values
%% DISPLAYING INPUTS
func=[‘ The equation to be solved is 4*R^3*S=3*x^2*(R-x/3)’];
%% THE CODE
% Define x as a symbol
% Setting up the equation
f=[num2str(C1) ‘-3*x^2*(‘ num2str(R) ‘-x/3)’]
% Finding the solution of the nonlinear equation
%% DISPLAYING OUTPUTS
fprintf(‘\nThe solution# %g is %g’,i,solnvalue(i))
This post is brought to you by Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://nm.mathforcollege.com, the textbook on Numerical Methods with Applications available from the lulu storefront, and the YouTube video lectures available at http://nm.mathforcollege.com/videos and http://www.youtube.com/numericalmethodsguy