f**n
发帖数: 401 | 1 How to find out the time when x(t) hit \theta, in which the
dynamics of x(t) is given by the following ODE:
dx(t)/dt=f(t)-cx(t),x(0)=0
and \theta is a paramter.
我现在已经知道用Runge-Kutta法可以解ODE,但是对于我上面的问题，有没有特定的
方法呢？
thx&bow! | c*******o
发帖数: 1722 | 2 hmm.... i kinda see your point.
the homogeneous solution part is just an exponential increase or decay,
but you probably more interested in increase (coz your boundary conditions).
as for the special solution part, it is a convolution, which you can numeric
ally
solve, provided you have numbers for f(t). it is just a \Sigma of those nume
rial
values. if f(t) is smooth and not a weird function, you should be able to p
redict
the trend by just adding more and more f(t) at different time......
he
【在 f**n 的大作中提到】
: How to find out the time when x(t) hit \theta, in which the
: dynamics of x(t) is given by the following ODE:
: dx(t)/dt=f(t)-cx(t),x(0)=0
: and \theta is a paramter.
: 我现在已经知道用Runge-Kutta法可以解ODE,但是对于我上面的问题，有没有特定的
: 方法呢？
: thx&bow!
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