# MATLAB function printing extra matrix?

• MATLAB

## Main Question or Discussion Point

I'm a newbie to all things programming, and have to write a program implementing the Euler method to approximate an ODE.

Anyways, the program works but when I use the function I wrote I get an extra matrix of zeroes above the desired output, which I don't understand as I have suppressed the output of the zero matrix with a semi-colon - the matrix is Eulerpoints. Here's the source code:

function [Eulerpoints] = Eulermethod(x0,y0,xn,steps)
%EULERMETHOD - this function will approximate y by the Euler method.
% EULERMETHOD(x0,y0,xn,steps) will return a list of points that
% approximate y in the interval [x0,xn] given our initial co-ordinate
% (x0,y0) and the number of steps.

Eulerpoints=zeros(steps+1,2);
start = 2;
finish = steps+1;
h=(xn-x0)/steps;
Eulerpoints(1,1) = x0, Eulerpoints(1,2) = y0;
fprintf(' n xn Yn\n 0 %2g %2g\n',x0,y0)

for I= start:finish
Eulerpoints(I,1) = x0 +h*(I-1);
Eulerpoints(I,2) = Eulerpoints(I-1,2) + h*(-2*Eulerpoints(I-1,2) - 0.25*Eulerpoints(I-1,1)*Eulerpoints(I-1,1) + 0.125); %% This line contains the ODE, which can be adjusted for a different equation.
fprintf('%3g %4g %6g\n',I-1,Eulerpoints(I,1),Eulerpoints(I,2))
end
%
end

Related MATLAB, Maple, Mathematica, LaTeX News on Phys.org
The x0 in Line 11 needs to have a semi-colon after it. This will then return the Eulerpoints matrix as a variable and the [n xn yn] print out that you call for, but you will no longer have the output you were concerned with.

Here is the fixed code (using the CODE wrap that we have here on PF):

Code:
function [Eulerpoints] = Eulermethod(x0,y0,xn,steps)
%EULERMETHOD - this function will approximate y by the Euler method.
% EULERMETHOD(x0,y0,xn,steps) will return a list of points that
% approximate y in the interval [x0,xn] given our initial co-ordinate
% (x0,y0) and the number of steps.

Eulerpoints=zeros(steps+1,2);
start = 2;
finish = steps+1;
h=(xn-x0)/steps;
Eulerpoints(1,1) = x0; Eulerpoints(1,2) = y0;
fprintf(' n xn Yn\n 0 %2g %2g\n',x0,y0)

for I= start:finish
Eulerpoints(I,1) = x0 +h*(I-1);
Eulerpoints(I,2) = Eulerpoints(I-1,2) + h*(-2*Eulerpoints(I-1,2) - 0.25*Eulerpoints(I-1,1)*Eulerpoints(I-1,1) + 0.125); %% This line contains the ODE, which can be adjusted for a different equation.
fprintf('%3g %4g %6g\n',I-1,Eulerpoints(I,1),Eulerpoints(I,2))
end
%
end
Hope this helps.

Ben

Ah thanks, yeh that's been bugging me (geddit?) for ages.
Cheers