How do I correctly enter the function f(x,y)=sin​((pi/2)*(x​+y))?

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I need to calculate the value for the function using the blending interpolation reffering to x0=-1, x1=1, y0=-1, y1=1 in point (1/3,1/3).
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LEONARD-RAMON DINCA
LEONARD-RAMON DINCA il 27 Mag 2020
I need to know how to enter the function, MATLAB is new for me and it gives me trouble figuring out how to correctly insert this into it. Could you please assist?

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Risposte (2)

David Hill
David Hill il 27 Mag 2020
f=@(x,y)sin(pi/2*(x+y));
[X,Y]=meshgrid(-1:.2:1);%not sure what step size you are using
a=interp2(X,Y,f(X,Y),1/3,1/3);

madhan ravi
madhan ravi il 28 Mag 2020
Modificato: madhan ravi il 28 Mag 2020
% Option 1
x = [x0,x1];
y = [y0,y1]';
z = sin(pi/2*(x+y));
F = griddedInterpolant({x,y},z);
xq = 1/3;
yq = 1/3;
Interpolated = F({xq,yq})
% option 2
f=@(x,y)sin(pi/2*(x+y));
x0=-1;
x1=1;
y0=-1;
y1=1;
x = [x0,x1];
y = [y0,y1];
[xx,yy] = meshgrid(x,y);
% query points
xq = 1/3;
yq = 1/3;
Interpolated = interp2(xx,yy,f(xx,yy),xq,yq) % Interpolated = interp2(xx,yy,f(xx,yy),xq,yq, 'spline') use the method which suits you the best
  2 Commenti
LEONARD-RAMON DINCA
LEONARD-RAMON DINCA il 28 Mag 2020
Great stuff in here, one last thing, if I would want to show this in GUI how should I run it? Thanks
madhan ravi
madhan ravi il 28 Mag 2020
Maybe you can try using live script , it’s very intuitive.
P.S: I’m not familiar with GUI myself.

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