How to use function like syms - solve to be executed for each data?

Hi Community,

I want to ask... How to create a solve function to be adapted for each data of mine? I have this code :

syms a b h x u d;
Gz = [0.2480
    0.2709
    0.2891
    0.3008
    0.3049
    0.3010
    0.2895
    0.2715
    0.2488
    0.2232
    0.1966
    0.1705
    0.1459
    0.1238
    0.1043
    0.0877
    0.0739]

G = 6.67428e-11; %Gravity Contant
G_1 = 4*pi*G/3; 
ruas_akhir1 = expand(b^3*h*((x^2 + h^2)^(-3/2)));
ruas_akhir = (b^6*h^8 + 3*b^6*h^6*x^2 + 3*b^6*h^4*x^4 + b^6*h^2*x^6)^(1/2);% Last Part Formula for gravity 
ruas_akhir_kuadrat = b^6*h^8 + 3*b^6*h^6*x^2 + 3*b^6*h^4*x^4 + b^6*h^2*x^6;
p = 1442 - d; 
p_G1 = G_1*p;
kernel = p_G1*ruas_akhir;
kernel_fix = u*((2.7957e-10*d)-(4.0314e-07));
expand_kernel = expand(kernel_fix);
hasil_kernel = (2.7957e-10*d*u) - (4.0314e-07*u);
for Gz = Gz(:)
u_solve = solve(hasil_kernel==Gz,u); % I want to execte solve function for each data of Gz
end

the u_solve variable should be a series of solve result from each of Gz data.... But the ouput is only 1 and its an empty :

Empty sym: 0-by-1

Iam just in vain using the for statement like that. Would u mind to help me out?

Thank you very much, everyone....

Answer 1

[埃博拉酱]

Your method of using for loops is wrong. The for loop iterates over the 2nd dimension, and the Gz(:) you use will expand into a column vector in the 1st dimension. When you bring it into the solve equation, it becomes a solution to a u such that hasil_kernel is equal to several different Gz at the same time, which of course is unsolvable.

Try arrayfun instead of a for loop:

u_solve=arrayfun(@(Eq)solve(Eq,u),hasil_kernel==Gz);