Solve a integral equation

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Yadong Chen
Yadong Chen on 20 Oct 2021
Commented: Saranya S about 7 hours ago
I would like to solve this equation in MATLAB
,
we know and and
  3 Comments
Saranya S
Saranya S about 7 hours ago
Fourier Transform
syms a t;
x= a*abs(t);
x= fourier(x);
x1= fourier(x,y);
x2=fourier(x,t,y);
disp('1.Fourier Transform of a*abs:')
disp(x);
disp(x1);
disp(x2);

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Answers (1)

Walter Roberson
Walter Roberson on 20 Oct 2021
Q = @(v) sym(v);
syms t C real
alpha = Q(2);
sigma = Q(0.4);
Pi = Q(pi);
f(t) = exp(-(log(t)^2/(2*sigma^2)))/(t * sigma * sqrt(2*Pi))
f(t) = 
eqn = C - int((t-alpha*C)*f(t), t, alpha*C, inf)
eqn = 
SE = simplify(eqn)
SE = 
C_sol = vpasolve(SE, C)
C_sol = 
0.3721630585289762803836642354681
subs(eqn, C, C_sol)
ans = 
vpa(ans)
ans = 

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