Date: May 8, 2013 4:18 AM
Subject: Re: complicated equation including bessel functions
"ghasem " <email@example.com> wrote in message <firstname.lastname@example.org>...
> 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)-(1-eps1)*gam.*besseli(0,gam));
> X3 = -T*tau*bessely(0,T)*besselk(1,tau)-...
> X4 = -T*tau*besselj(0,T)*besselk(1,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));
> I think that fsolve is not exact.because my answers are not simillar to my reference.
> is there any better method,instead fsolve?
What variables are changed within your for-loop ?
The complex constants eps1, k0, k1 and k2 ?