matlab code help for equation solving

can anyone please provide the matlab code to solve and find the value of k for the given equation

ω^2= gκ tanh κd

given

d=100

g=9.8

ω= 0:0.01:10

[darova]

Did try something?

[Rik]

It is probably the best strategy to try to rewrite the formula with algebra. Other than that my question would be the same as Darova: what have you tried so far?

[Ankita Som]

i am a PhD student. I am writing a code on a wave spectrum and this equation is a part of it. I cannot solve this one algebraically. though i have the results using function option. bt i want the algebraic one proceed with my code

Answer 1

[Dimitris Kalogiros]

Hi A. Hossain

Try this:

clear; clc;
syms w d k
d=100
g=9.8
for w=0:0.01:10
    fprintf('-----  w = %f -----\n', w);
    eq=w.^2==g*k*tanh(k*d) 
    vpasolve(eq)
    fprintf('\n\n');
end

Of Course, it does not provide an analytical solution, but a numerical one.

[darova]

Looks like homework

[Ankita Som]

not at all. i am writing a code on wave spectrum and this equation is a part of the code where i am stuck

[Ankita Som]

i have used this code before but i want the analytical solution to proceed with my code