Euler's Method plotting

Fabian Höfler

2014 12 15

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Hi,

i found this code for the euler's method on the internet:

   function [wi, ti] = euler ( RHS, t0, x0, tf, N )
neqn = length ( x0 );
ti = linspace ( t0, tf, N+1 );
wi = zeros( neqn, N+1 ) ;
wi(1:neqn, 1) = x0';
h = ( tf - t0 ) / N;
for i = 1:N
    x0 = x0 + h * feval ( RHS, t0, x0 );
  t0 = t0 + h;
      wi(1:neqn,i+1) = x0';  
end
%             RHS     string containing name of m-file defining the 
%                     right-hand side of the differential equation;  the
%                     m-file must take two inputs - first, the value of
%                     the independent variable; second, the value of the
%                     dependent variable
%             t0      initial value of the independent variable
%             x0      initial value of the dependent variable(s)
%                     if solving a system of equations, this should be a 
%                     row vector containing all initial values
%             tf      final value of the independent variable
%             N       number of uniformly sized time steps to be taken to
%                     advance the solution from t = t0 to t = tf
%
%     output:
%             wi      vector / matrix containing values of the approximate 
%                     solution to the differential equation
%             ti      vector containing the values of the independent 
%                     variable at which an approximate solution has been
%                     obtained
%

Now, I want to plot the result of the function. Unfortunately I wasn't able to solve this problem by my own.

I tried: plot(xo,to) and many other variations of this, but the result didn't make any sense.

Many thanks in advance, Fabian

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Youssef Khmou 2014-12-15

can you briefly describe the input variables.

Amit 2014-12-15

First question is: Do you know Euler's method? (if yes, it is a rather simple code and I think you should try it on your own - it will be a good exercise)

Second question is: where is your attempt or what have you done to understand this code?

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