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

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LEONARD-RAMON DINCA 2020-5-27

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评论： madhan ravi 2020-5-28

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 2020-5-27

Yes Madhan, thanks.

LEONARD-RAMON DINCA 2020-5-27

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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Answer 1

David Hill 2020-5-27

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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);

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Answer 2

madhan ravi 2020-5-28

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编辑：madhan ravi 2020-5-28

    % 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