Solution plotting for both Forward and BACKWARD euler for the flame propagation model

2022 11 15
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更新时间：2022 11 15
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Hi,
I am trying to solve the flame propagation model dy/dt=y^2-y^3 with y(0)= 1/100 and 0<t<200, using both FORWARD and BACKWARD euler method with step size 0.01. But it has been giving me errors. How should I go about this? Please help I need this for my project
Thank you
Here are my codes for the Forward Euler
h=0.01;
y(0)=2
for n=1:N
t(n+1)=n*h
opts = odeset('RelTol',1.e-4);
y(n+1)= y(n)+h*(y.^2-y.^3);
end
plot(t,y)

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R2015a

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David
David
2022-11-15

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Torsten
Torsten
2022-11-15

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