I have problem of ode45. please help me T_T

(sorry about my english skill)

first, this is rocket.m file

function dH=rocket(t,H)
global km mildo press temp;
m = 6100;   % kg
a = 0.8;     % m^2
ve = 2060.1; % m/s
thrust = 13000*9.81; 
pe = thrust/a;  
dmdt = -(thrust)/ve;
rho = 1;
pa = 1;
tem = 1;
%M = (331.5+(0.6*tem));      
veeff = ve-a*(pe-pa)/dmdt;  % ve.eff
%v = ; 
cd = 1;
dH(1,1) = H(2);
dH(2,1) = cd*rho(1)*a*H(1)^2-dmdt*ve;

and this is rocket_test.m file

[t H] = ode45(@(t,H)rocket(t,H),[0 10],[0 0]);
H1=H(:,1);
H2=H(:,2);
plot(t,H1,t,H2)
legend('height','vel')
set(gca,'fontsize',20)

when i run rocket_test.m code, the error massage is

Warning: Failure at t=1.930812e-01.  Unable to meet integration tolerances without
reducing the step size below the smallest value allowed (4.440892e-16) at time t. 
> In ode45 (line 308)
In rocket_test (line 2)

and when i change dH(2,1)=cd*rho(1)*a*H(1)^2-dmdt*ve; to dH(2,1)=cd*rho(1)*a*H(1)-dmdt*ve; at rocket.m file, it works.

so i think H(1) ^2 the square is the problem.

but when i test below code, it works. function dH=rocket(t,H) dH(1,1) = H(2); dH(2,1) = H(1)^2;

i can't find what is the problems..........

+ someone said try ode15s instead ode45, but ode15s didn't work neither

Answer 1

[Jan Orwat]

1. It seems your function rocket.m represents system of equations

dH₁ = H₂
dH₂ = aH₁² + 127530

Verify, if it's what you are looking for.

2. Why do you declare global variables? Are those necessary? They aren't used once. MATLAB allows use of global variables, but it is not recommended. In this case

3. I cleaned up rocked.m from all unused or redundant variables. Here's what is left:

function dH=rocket(~,H)
a = 0.8;     % m^2
thrust = 13000*9.81; 
dH(1,1) = H(2);
dH(2,1) = a*H(1)^2+thrust;

Make sure if it's correct. If it calculates what it's supposed to do, then go to point 3.

4. Choose proper solver. Usually it is good to start with ode45. More about ODE solvers.