numerical integration in matlab
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Hello everyone,
I am trying to first numerically integrate a function and then plot the output of the integral. However, I have a variable T which is in the range (1:1000). I am not sure how to use a loop in integral and then plot values for all T with the corresponding value of integral. The MATLAB code is:
Hello everyone,
I am trying to first numerically integrate a function and then plot the output of the integral. However, I have a variable T in the integral which is in the range (1:1000). I am not sure how to use a loop in integral and then plot values for all T with the corresponding value of integral. The MATLAB code is:
kb = 1.38 .* 10.^-23;
h = 1.05 .* 10.^-34;
wd = 6.94 .* 10.^13;
vs = 6084;
B1 = 2.7 .* 10.^-19;
B2 = 170;
A1 = 2 .* 10.^-45;
D = 0.004;
c = (h.^2 .* D) ./ (2 .* pi * pi * vs * kb .* T .* T);
T = 1:1000;
fun = @(x) ((x.^4 .* exp((h.*x) ./ (kb .* T))) ./ (((exp((h.*x) ./ (kb .* T))-1).^2) .* ((D.*B1 .* x.^2 .* T .* exp(-B2/T)) + (D.*A1 .* x.^4) + vs)));
K = c .* integral(fun,0,wd)
plot(T, K)
Thanks in advance,
Raj Patel.
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