Plotting infinite series with set of parameters
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I want to plot the following functions,
Here, and given by
is a set of values of values given by,
I have approximated a set of values for . I have tried the following code, but failed to generate expected plot. Is that due to approximation, or there is any other error in my code?
clc
clear all
syms Y
k = 0.1;
j=[-8.0671,-5.30732,-2.62768,0,8.0671,5.30732,2.62768];
for i=1:length(j)
f1 = (sin(j(i))+ k*j(i)*cos(j(i)))*cos(j(i)*Y) - (cos(j(i)) - k*j(i)*sin(j(i)))*sin(j(i)*Y);
f2=((((j(i).^4)/16)+1)*((k*(k + 1)*sin(j(i))) - (1 + 2*k - k^.2*j(i).^2)*((cos(j(i)))/(2*j(i)))));
U=0.25*sum(((f1/f2)*exp(-0.25*j(i).^2)),i,1:8);
fplot(U);xlim([0 1]);%hold on;
end
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