can it be possible to merge bvp4C code and Response Surface Method (central-composite designs OR Box-Behnken designs)

%% i want to calculate Nu with different parameters (phi, Pr, Nr etc.) by studying RSM approach with the following bvp4C code

A = 0.5;  
Pr = 2;   
D = 0.5;  
M = 1;  
Ec = 0.1; 
Nr = 0.1; 
L = 0.1; 
phi = 0.1;
rhof = 997.1;
Cpf = 4179;
kf = 0.613;
betaTf = 21*10^5;
sigmaf = 5.5*10^(-6);    
rhos = 8933;
Cps = 385;
ks = 401;
betaTs = 1.67*10^5;
sigmas = 59.6*10^(6);      
a1 = 1 - phi + phi*rhos/rhof; 
sigma = sigmas/sigmaf; 
a2 = 1 + 3*phi*(sigma-1)/(sigma+2-(sigma-1)*phi);   
a3 = 1 - phi + phi*rhos*betaTs/(rhof*betaTf);
a4 = 1 - phi + phi*rhos*Cps/(rhof*Cpf); 
K = (ks+2*kf - 2*phi*(kf-ks))/(ks+2*kf + phi*(kf-ks));
BC = @(ya,yb)[ya([1;4]); ya([2;7])-1; ya(5)- D; yb([2;5;7])];
ODE = @(x,y)[y(2);  
    y(3); ...
    (1-phi)^2.5*(  a1*(2*y(2)*(y(2)+y(5))-y(3)*(y(1)+y(4)))  + a2*M*y(2) - a3*L*y(7) );
    y(5);  
    y(6);  
    (1-phi)^2.5*( a1*(2*y(5)*(y(2)+y(5))-y(6)*(y(1)+y(4)))  + a2*M*y(5) );
    y(8);  
    Pr* ( a4*(A*(y(2)+y(5))*y(7)-(y(1)+y(4))*y(8)) - (1-phi)^(-2.5)*Ec*y(3)^2 -a2*M*Ec*y(2)^2 )/(K+(4/3)*Nr)];
xa = 0; 
xb = 6; 
x = linspace(xa,xb,100);
solinit = bvpinit(x,[0 1 0 D 1 0 0 0]);
sol = bvp5c(ODE,BC,solinit);  
S = deval(sol,x);
Nu = - (K + (4/3)*Nr)*S(8,1);
figure(2),
plot(x,S(2,:),'Linewidth',1.5);
hold on

Answer 1

[Torsten]

i want to calculate Nu with different parameters (phi, Pr, Nr etc.)

Then make phi, Pr and Nr parameter vectors, create a threefold loop and call the solver for each combination.

[MINATI PATRA]

@Torsten

Sorry for the late reply

Can RESPONSE SURFACE METHODOLOGY (RSM) be merged with the above code to draw plots directly given in the following link.

https://in.mathworks.com/help/stats/response-surface-designs.html