roots of non linear periodic function

3 views (last 30 days)
Hi, i need to find roots of following equation (x). L and P are constants. using fzero i cant, please guid
(x*L)*tan(x*L)=P
i am attempting as follow but fails:
function C(x)
x*L*tan(x*L))=P

Accepted Answer

Walter Roberson
Walter Roberson on 5 Mar 2021
Edited: Walter Roberson on 5 Mar 2021
format long g
rng(655321)
L = randn()
L =
-0.486212438021384
P = rand() * 10
P =
3.86360763118074
C = @(x) x.*L.*tan(x*L)-P
C = function_handle with value:
@(x)x.*L.*tan(x*L)-P
root1 = fzero(C, pi/3)
root1 =
2.58404586473783
N = 10;
nroots = zeros(1,N);
proots = zeros(1,N);
for K = 1 : N
nroots(K) = fzero(C, root1-K*pi);
proots(K) = fzero(C, root1+K*pi);
end
uniquetol([nroots, root1, proots].')
ans = 19×1
-29.0761112543409 -26.445774714587 -22.6147531978207 -20.1564225125044 -16.1533951413005 -13.9854187445272 -9.6920370847803 -8.06185601128258 -3.2306790282601 2.58404586473783

More Answers (1)

KSSV
KSSV on 5 Mar 2021
syms x
p = pi/4 ;
L = 2 ;
eqn = x*L*tan(x*L)-p==0 ;
s = vpasolve(eqn,x)

Categories

Find more on Symbolic Math Toolbox in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!