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Newton Raphson on MATLAB

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Türker Demiröz
Türker Demiröz el 19 de Feb. de 2021
Respondida: Jemima Pulipati el 23 de Feb. de 2021
Hello Community. Here im trying to find the rho_a using the Newton Raphson Method. But im new to MATLAB and can't figure it out by myself.
Here's my Code;
clc; clear all
f_o =0.527;
f_i = 0.506;
Z = 8;
D_w = 10.32;
rho_0 = (f_i+f_o-1)*D_w;
F_a =2600;
alpha_no = 7.61;
C_delta = 7.14*10^5;
LHS=F_a/(Z*C_delta*rho_0^3/2);
syms rho_a
f = @(rho_a) ((sin(alpha_no)+rho_a)/((cos(alpha_no)^2+(sin(alpha_no)+rho_a)^2))^1/2)*(((cos(alpha_no)^2+(sin(alpha_no)+rho_a)^2))^1/2)-1^3/2;
fd = diff(f(rho_a));
rho_a = 10^-6;
for i=1:100000
rho_a = rho_a - f./fd;
f=rho_a;
if abs(f-LHS/LHS)<=10^-4
break
end
end

Respuestas (1)

Jemima Pulipati
Jemima Pulipati el 23 de Feb. de 2021
Hello,
From my understanding, you want to implement the Newton Raphson method in MATLAB.
The following answer from the community might be of relevance to you.
The following file exchange submission might also help you.

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