Solve equation Matlab

Question

Hy can anyone can tell me how i can solve this equation 2xJ1(x) − J0(x) = 0 where J1 and J0 are the Bessel function in Matlab without using the fsolve command

Answer 1

You can use fzero to find the zeros if and only if the curve crosses the x-axis. So

fzero(@(x)(2*x*besselj(1,x)-besselj(0,x)),x0)

will give you the zero close to x0 .

See this answer of mine for an explanation of when and why fzero fails (although it won't for a Bessel function, it's good to be aware) and the tradeoffs with fsolve .