Solving equation in Matlab
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Hi I obtained these results using Mathematica. If I want to get the same with Matlab, how should I do? At least I will get the red column Results :
The code :
Here is my code in Matlab :
clear all
L0= 941 * 10^9;
mi0=636 * 10^9;
k0= L0 + mi0 * (2/3);
kl = 900 * 10^9;
phi_m = 0.1;
Km = 10 ^-18;
w=2*pi;
eta=1000;
ac=10;
phi=0.12;
l=pi*0.001/phi;
t = (phi_m * (l^2)*eta)/(Km*kl);
L=(k-mi*(2/3));
gamma = 1 + (ac/pi) * ((k-k0)/(phi*mi)) * ((L+2*mi)/(L+mi));
For the rest :
that is : k=k0+ phi*k1 and µ=µ0 + phi*µ
2 commentaires
Réponses (1)
Abraham Boayue
le 26 Mar 2018
See if you can make this code produce the results you want. The program by its self is right, but there might be some issues with the way I defined your equations and the values I chose for some constants.
% Fixed parameters
lamda_null = 941e9;
mue_null = 636e9;
phi_null = 0.1;
w = 2*pi;
k1 = 900e9;
Km = 10 ^-18;
% Chosen parameters
eta = [100 100 100 1000 1000 1000];
ac = 10;
phi = [0.06 0.07 0.08 0.12 0.14 0.16];
phi_m = 0.1;
mue1 = 1;
N = length(eta);
Qp = zeros(1,N);
Qs = zeros(1,N);
% Calculated parameters
k0 = lamda_null + (2/3)*mue_null;
for i = 1:N
kL = 1e-6/phi(i);
L = pi*0.001/phi(i);
mue = mue_null + phi(i)*mue1;
k = k0+ phi(i)*k1;
tau = (phi_m *L^2*eta(i))/(Km*kL);
% Define major equations
% 1. gamma
lamda = (2/3)*(k-mue1);
g1 = (lamda+2*mue)/(lamda+mue);
gamma = 1+(ac/pi)*(k1/mue)*g1;
% 2. k1/k0
g2 = (1+1i*w*tau) / (1+1i*gamma*w*tau);
g3 = (1-(1-1/gamma) / (1+1i*w*tau));
g4 = ( 1 - ( 1i*kL^2 / gamma*w*tau) * (1+1i*gamma*w*tau) );
k1_k0 = -4/3*(k0/mue)*g1*g2*(g3*g4).^(-1);
% 3. mue1/mue0
g5 = (lamda+2*mue)/(3*lamda+4*mue);
g6 = (1+ 1i*4*ac*w*eta(i) / pi*mue);
mue1_mue0 = -2/15*(8/3*g1*g2 +16*g5*(g5*g6).^(-1));
K = k1_k0;
Me = mue1_mue0;
qp = imag(K+4/3*Me)/real(K+4/3*Me);
qs = imag(Me)/real(Me);
Qp(i) = qp;
Qs(i) = qs;
end
disp('Qp');
disp(Qp);
disp('Qs');
disp(Qs);
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