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Bessel Function

Goutham Parameshwarappa
Posted 10 years ago

Dear All,

I have a problem with Bessel function, I am new to this concept and I am unable to solve an equation or nor do i know how to solve this. It's the case of diffusion 2nd law in a cylinder and the resulting equation is, X= 2/a n=1...infinity? (J0(bn,r)) / (bnJ1(bn,a)) exp (-Dbn^2t) Here bn is root of J0(bna)=0 and J0(bnr) is the bessel function of first kind of order zero and J0 and J1 are bessel functions of the first kind and of order zero and one respectively. I have no idea of what is the value of bn or what is j0 and J1 are. Please help me out. Any suggestions are welcome.

Thank you
POSTED BY: Goutham Parameshwarappa
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Bill Simpson
Bill Simpson
Posted 10 years ago

Mathematica uses BesselJ[0,n] and BesselJ[1,n] notation for the Bessel functions.

Mathematica uses Sum[expression,{n,1,Infinity}] notation for an infinite sum over n.

Mathematica uses various different methods, like Solve[expression==0,b], for finding zeros of expressions.

Can you attempt to express your problem using equations and some of this notation?
POSTED BY: Bill Simpson
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