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differential equations without ode solvers

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Taleb Bou Hamdan
Taleb Bou Hamdan 2019-2-25
评论： Taleb Bou Hamdan 2019-2-27
hello, I am trying to simulate running two differential equaitons at the same time but there is an error that index exceeds array bounds:
The code am using is given in the following:
dt=0.5;
t=0:dt:10;
h1=zeros(size(t));
h1(1)=0;
h2=zeros(size(t));
h2(1)=0;
for i=1:21
if h1(i) < 1
h1= 0.5-0.065*sqrt(h1(i));
h2= 0.065*sqrt(h1(i)) - 0.1*sqrt(h2(i));
h1(i+1)= h1(i)+dt*h1;
h2(i+1)=h2(i)+dt*h2;
else h1(i)=1;
end

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回答（1 个）

Alex Mcaulley
Alex Mcaulley 2019-2-25
I think you are overwriting h1 and h2 variables in:
h1= 0.5-0.065*sqrt(h1(i));
h2= 0.065*sqrt(h1(i)) - 0.1*sqrt(h2(i));
After those lines h1 and h2 are scalars. Probably you need to put:
h1(i)= 0.5-0.065*sqrt(h1(i));
h2(i)= 0.065*sqrt(h1(i)) - 0.1*sqrt(h2(i));
  1 个评论
Taleb Bou Hamdan
Taleb Bou Hamdan 2019-2-27
Thank you. I have the names of the functions from h1 h2 to f1 and f2 and this solved the problem

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