I am getting an error of 'Subscript indices must either be real positive integers or logicals' while solving a runge kutta problem

1 view (last 30 days)
clf;clc;
%parameters
s=0.01;
t_final=10;
global Re Pr R phi b eps Mn Bi alp rhof cpf kf rhos cps ks
Re= 2.5;
Pr= 6.8;
R= 1;
phi= 0.1;
b=1.0;
eps=0.1;
Mn= 1.0;
Bi= 1.0;
alp= 1;
rhof= 997.1;
cpf= 4179.0;
kf= 0.613;
rhos= 8933.0;
cps= 385.0;
ks= 400;
phi1= (1-phi)^2.5*((1-phi)+phi*(rhos/rhof));
phi2= (1-phi)+phi((rhos*cps)/(rhof*cpf));
k = (ks+2*kf-2*phi*(kf-ks))/(ks+2*kf+phi*(kf-ks));
%initial conditions
t(1)=0;
h(1)=1;
%function handle
f=@(t,h) -(1+b)*h+eps*((1+b^2)*phi1*Re+(1+b)*((1-phi)^2.5)*Mn^2)*h^3/3+...
2*eps*alp*(1-phi)^2.5*(k/(k+Bi*h))*h^2-(2/3)*eps^2*(1-phi)^2.5*alp*Pr*(Re*phi2/k+R)*...
((2*k*Bi^2*h^3*h_t)/(k+Bi*h)^3+(2*(1+b)*Bi*k*h^3)/(k+Bi*h)^3+((1+b)*(3*k+Bi*h)*k*h^2)/(k+Bi*h)^2)*h^2/2
% RK4 loop
for i=1:ceil(t_final/s)
t(i+1)=t(i)+s;
k1= f(t(i) , h(i));
k2= f(t(i)+0.5*s , h(i)+0.5*k1*s);
k3= f(t(i)+0.5*s , h(i)+0.5*k2*s);
k4= f(t(i)+s , h(i)+k3*s);
h(i+1)= h(i)+s/6*(k1+2*k2+2*k3+k4);
end

Accepted Answer

Birdman
Birdman on 20 Mar 2018
Change this line
phi2= (1-phi)+phi((rhos*cps)/(rhof*cpf));
to
phi2= (1-phi)+phi*((rhos*cps)/(rhof*cpf));

More Answers (0)

Categories

Find more on Mathematics in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!