ghasem
Posts:
118
Registered:
4/13/13


complicated equation including bessel functions
Posted:
May 7, 2013 3:27 PM


Hi. how solve an complicated equation including bessel functions,when my unknown and my initial guesses are complex? my code is as following: (is within a for loop)
syms bet % bet is my unknown for i = 1: 100 % eps1 , k1,k2,k0 are complex constant. gam = sqrt(bet^2  k1^2); T = sqrt(bet^2  k2^2); tau = sqrt(bet^2  k0^2); % X1 = gam*besseli(0,gam); X2 = T*(eps1*besseli(1,gam)(1eps1)*gam.*besseli(0,gam));
X3 = T*tau*bessely(0,T)*besselk(1,tau)... tau^2*bessely(1,T)*besselk(0,tau); X4 = T*tau*besselj(0,T)*besselk(1,tau)... tau^2*besselj(1,T)*besselk(0,tau);
exp1(i) = X1.*(besselj(1,T).*X3  bessely(1,T).*X4)... X2.*(besselj(0,T).*X3  bessely(0,T).*X4);
my_guess = (i/100) +1j*(k0+(i/m)); exp2(i) = fsolve(@(bet)eval(exp1(i)),guess);
real_ans(i) = real(exp2(i)); imag_ans(i)= imag(exp2(i)); end ==================================== I think that fsolve is not exact.because my answers are not simillar to my reference. is there any better method,instead fsolve? ghasem

