
#1
Nov2912, 09:53 AM

P: 147

Hello there,
I am solving numerically the ODE $$ \dot{y} = min \, (y, A) + B\, sin(t)$$ , A,B being constant. I obtain a very "wiggled" solution which is very fine to me actually, as it echoes the problem I am studying. However, as the numerical solution scheme is quite "rudimentary" I am wondering if I am getting an accurate answer. In this respect I am wondering if somebody could point me towards a suitable theory for ODE to study their wellposedness, continuity with respect to inital data, stability. I am no expert, but I understand the problems one would encounter if trying to solve the heat equation with negative conductvity! The ODE, in the regime $$ y(t) < A$$ is of they type $$ \dot{y} = y + f(t)$$ which is prone to diverging exponentially. I am trying to understand if the solution I find is meanigful or just "computer noise". Thanks 



#2
Nov2912, 01:26 PM

HW Helper
P: 1,391

In this way you can construct a piecewise analytic solution for some simple parameter choices which you can test against your numerical solution. 


Register to reply 
Related Discussions  
Are unstable system really possible?  Electrical Engineering  14  
Unstable isotopes  Introductory Physics Homework  0  
nothingness is unstable?  Astrophysics  3  
Unstable N16  Nuclear Engineering  2  
Stable or Unstable EQ pt.  Advanced Physics Homework  8 