Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: complicated equation including bessel functions
Replies: 22   Last Post: May 8, 2013 2:43 PM

 Messages: [ Previous | Next ]
 ghasem Posts: 118 Registered: 4/13/13
Re: complicated equation including bessel functions
Posted: May 8, 2013 10:28 AM

> You solve in _two_ unknowns: bet_real and bet_imag.
> You evaluate your bessel functions for z=bet_real+1j*bet_imag.
> You return the real and imaginary part of exp1(i) to fsolve.
> (Two equations in two unknowns).
>
> Best wishes
> Torsten.

===========================
thank you Torsten.but your suggestion is not good.
because,when in complex algebra in matlab,you use from real and imag commands,you only increase complexity of your problem.because,your complex unknown is within bessel argument,yet.
for example,look at this code:
syms a b % a,b real
c = a+1j*b;
d = besseli(1,c);
real(d)
ans=
conj(besseli(1, a + b*i))/2 + besseli(1, a + b*i)/2
imag(d)
ans =
(conj(besseli(1, a + b*i))*i)/2 - (besseli(1, a + b*i)*i)/2
% so,you can see,when your problem is big,when you use from real and imag command,only your equation become longer.
also,I tested my equation with simple fzero (without separate real and imag parts)and with your suggestion.
I saw that my answers in first case,was correct and in latter case,was false.
i.e IN MATLAB SOFTWARE,there is not any method for complicated equations including bessel functions with comlex argument????
best wishes
ghasem

Date Subject Author
5/7/13 ghasem
5/8/13 ghasem
5/8/13 Torsten
5/8/13 Bruno Luong
5/8/13 Torsten
5/8/13 ghasem
5/8/13 Bruno Luong
5/8/13 ghasem
5/8/13 Nasser Abbasi
5/8/13 Bruno Luong
5/8/13 ghasem
5/8/13 Torsten
5/8/13 ghasem
5/8/13 Torsten
5/8/13 Bruno Luong
5/8/13 ghasem
5/8/13 Bruno Luong
5/8/13 ghasem
5/8/13 Steven Lord
5/8/13 ghasem
5/8/13 Steven Lord
5/8/13 ghasem
5/8/13 ghasem