Plotting 2-variable Function with integration using MatLab

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Does anyone have an example of how to plot a 2-variable function with integration in MatLab (without using MuPAD)?
Here is what I've got:
clear all;
%define a, p and w
a=1; p=1; w=5;
%calculate xmin and xmax
xmin=a-p/2 xmax=a+p/2
%define the coordinates
x=linspace(xmin,xmax); y=linspace(0,1);
%define the coordinates along x-y plane
[x,y]=meshgrid(x,y);
%define and compute the given function along the x-y coordinates
z=w-(1/p)*int((x.-y)^2, x, xamin, xmax) ;
figure surf(y,x,z) title ('a=1 and p=1'); xlabel('w') ylabel('t') zlabel('x') axis tight shading interp colorbar
Clearly, there is something wrong with my function z. The function is
z=w-(1/p)*int(x-t)^2dx where x ranges from a-p/2 to a+p/2

Answers (1)

Youssef  Khmou
Youssef Khmou on 19 Sep 2014
The problem is in the function int, it is designed for symbolic calculation while your work with numerical one, if you have the function integral you try the following :
clear all;
a=1; p=1; w=5;
xmin=a-p/2; xmax=a+p/2;
x=linspace(xmin,xmax); y=linspace(0,1);
[x,y]=meshgrid(x,y);
L=integral((x-y)^2,1/length(x));
z=w-(1/p)*(L) ;
figure; surf(x,y,z); title('a=1 and p=1'); xlabel('w');ylabel('t');zlabel('x');
Does the result match your prediction ?

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