Numerical integration for a vector.

Can anybody help me with this? I do have problems to be integrating, when z is also defined as a vector, so I can't be using syms.

[Star Strider]

How are z and d related?

What is the expected result?

[mads skibsted]

This is the exppected results, where z is a vector and d = length(z)/2

[mads skibsted]

And n should be a very large value, example 0:1:1e4.

[mads skibsted]

And at t=0, then the higest value of u_e is equal u_i, where u_i is a constant.

[Star Strider]

Try either of these, after supplying , , and t —

z = ...;
d = numel(z)/2;
n = linspace(0, 1E4, 2*d);
ftrpz = (ui,cv,t,z) trapz(ui.*sin(pi*n.*z/(2*d))) .* sin(pi*n.*z/(2*d)) .* exp(-n.^2.*pi^2.*cv.*t/(4*d^2));
fintg = (ui,cv,t,z) integral(@(z)ui.*sin(pi*n.*z/(2*d)), 0, inf, 'ArrayValued',1) .* sin(pi*n.*z/(2*d)) .* exp(-n.^2.*pi^2.*cv.*t/(4*d^2))

See the documentation on trapz and integral for details. Then decide which version of ‘f’ works best in your application. Use the sum function complete the expression.

I cannot test this, so I am posting it as UNTESTED CODE. It will be necessary to experiment with it with your data to produce the desired result. The variable does not appear anywhere, so I have no idea what to do with it.

There is not enough information to proceed further.