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I'm trying to write a program, to show the vector field of a linear simple wave in shallow water. First, determining the position of a particle i run into a problem when trying to store the data in a vector/array. The equation for this is given below. In this particular case everything is kept constant except the water depth h

for h = 0.1: 0.1: 3

x(h)=xi+H/2*cosh((omega/(sqrt(g*h)))*(zeta+h))/(sinh((omega/(sqrt(g*h)))*h))*sin(omega*t-(omega/(sqrt(g*h)))*xi);

end

I get the following error:

??? Attempted to access x(0.1); index must be a positive integer or logical.

Help is much appreciated...

//Kbka