Plot of a numerical integration
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Please someone can help how to plot the following numerical
integration with respect to "z". Here "z" varies from "0" to "1". The
integral need to be done by numerical integration method.
采纳的回答
Star Strider
2020-10-23
Try this:
zv = linspace(0, 1);
for k = 1:numel(zv)
z = zv(k);
u_int(k) = integral(@(u) sqrt(u)/((exp(u)/z)-1) + z/(1-z), 0, Inf, 'ArrayValued',1);
end
figure
semilogy(zv, u_int)
grid
xlabel('z')
ylabel('Integrated Value')
.
6 个评论
P Rakesh Kumar Dora
2020-10-23
Star Strider
2020-10-23
It can be whatever you want. This plots 100 points, so the step size is about 0.01. If you want more or fewer, use the third argument to linspace to define how many.
Example —
zv = linspace(0, 1, 20);
creates ‘zv’ as a 20-element vector and would result in a step size of about 0.05. The number of elements can be anything the computer memory permits.
P Rakesh Kumar Dora
2020-10-23
Star Strider
2020-10-23
My pleasure!
I do not have Mathematica and have no experience with it. MATLAB does essentially everything I need to do.
If my Answer helped you solve your problem, please Accept it!
.
P Rakesh Kumar Dora
2020-10-23
Star Strider
2020-10-23
The ‘z’ values are the elements of the ‘zv’ vector. They correspond to the elements of ‘u_int’. So ‘z=0’ corresponds to ‘u_int(1)’, ‘z=1’ to ‘u_int(end)’, with end depending on how many elements of ‘u_int’ you choose to calculate.
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