How to solve 2nd order DE with Explicit Euler method?
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Hello, I have a second order DE equation with 2 initial conditions. I have to solve it with Eurler's method but I don't kow how to do that in second order DE.
Is there anyone who can share a script or at least show me a way to do second order DE in euler method?
thanks a lot!
采纳的回答
g = 9.81;
L = 1.0;
T = 1.0;
dt = 0.01;
y_0 = pi/2;
v_0 = 0;
f = @(t,y)[y(2),-g/L*sin(y(1))];
t = (0:dt:T).';
nt = numel(t);
node = 2;
y0 = [y_0 v_0];
y = zeros(nt,node)
y(1,:) = y0;
for it = 1:nt-1
y(it+1,:) = y(it,:) + dt*f(t(it),y(it,:));
end
y_linear = v_0/sqrt(g/L)*sin(sqrt(g/L)*t) + y_0*cos(sqrt(g/L)*t);
plot(t,[y(:,1),y_linear])
But try to start earlier with your assignment next time. Or is it a challenge for you ?
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