Timeline for Solving a bad-behaving equation with shooting method
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 14 at 10:00 | vote | accept | Repentanze | ||
| Apr 18 at 11:27 | comment | added | Alex Trounev | @Repentanze There is unstable mode as well proportional to $e^{5 x}$ or $e^{x/a}$ in general case. So if we need to describe instability we should combine modes. | |
| Apr 18 at 5:50 | comment | added | Repentanze | Thank you for the answer. I chose shooting method because of the original paper I read :Phys. Fluids 5, 417–425 (1962), and it seems 'FindRoot' in your code does the job automatically. But I'm still confused, as the solution is still divergent for large x, however as you mentioned 'psi' should converge to 0 as $e^{-5x}$. In fact limiting the region to '[-2,5]' leads to some different values of 'Phi', if I change the initial trial value in 'FindRoot'. How should I judge from the different results? I would hope to generalize this problem for different values of 'a&A' so this seems to matter. | |
| Apr 17 at 17:50 | history | answered | Alex Trounev | CC BY-SA 4.0 |