Plot of a numerical integration

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P Rakesh Kumar Dora
P Rakesh Kumar Dora 2020년 10월 23일
댓글: Star Strider 2020년 10월 23일
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.

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Star Strider
Star Strider 2020년 10월 23일
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')
.
  댓글 수: 6
P Rakesh Kumar Dora
P Rakesh Kumar Dora 2020년 10월 23일
Please can you tell how to locate precise value of the integrand corresponding
to precise value of "z" in the plot?
Star Strider
Star Strider 2020년 10월 23일
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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