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

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).

[madhan ravi]

Does interp2(...) help?

[LEONARD-RAMON DINCA]

Yes Madhan, thanks.

[LEONARD-RAMON DINCA]

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?

Answer 1

[David Hill]

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);

Answer 2

[madhan ravi]

    % 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

[LEONARD-RAMON DINCA]

Great stuff in here, one last thing, if I would want to show this in GUI how should I run it? Thanks

[madhan ravi]

Maybe you can try using live script , it’s very intuitive.

P.S: I’m not familiar with GUI myself.