Tring to solve for a transcendental equation

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Tyler Derstine
Tyler Derstine 2021년 10월 17일
답변: Alan Stevens 2021년 10월 17일
Hi,
I am tring to solve a transcendental equation.
L=0:.005:.15;
syms eigen
Bi=(100*L)/1.5
eigen=Bi/tan(eigen)
I want to find the value for eigen. I have not been able to figure out how to do this. All I have gotten is it outputting equations. How can I go about this to solve for eigen.
Thanks

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Alan Stevens
Alan Stevens 2021년 10월 17일
You can rearrange the equation as eigen*tan(eigen) = Bi and use fzero as below. However, because of the nature of tan, your results will depend on your initial guesses.
L=0:.005:.15;
Bi=(100*L)/1.5;
eigen = zeros(1,numel(L));
eig = 1; % Initial guess
for i = 1:numel(L)
eigen(i) = fzero(@(eig) efn(eig,Bi(i)),eig);
end
function Z = efn(eig, Bi)
Z = eig*tan(eig) - Bi;
end

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