Timeline for Can NDSolve handle equations of the form $(x'+ iy')^3 = F(x,y)$?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 16, 2017 at 4:29 | history | edited | Carl Woll | CC BY-SA 3.0 | grammar |
| Nov 16, 2017 at 2:28 | comment | added | bbgodfrey | @CarlWoll What version of Mathematica are you using? When I run your code with 11.2 on Windows 10, the blue curve does not appear at all, although the InterpolationFunction for the blue curve (in the second quadrant) certainly exists. | |
| Nov 16, 2017 at 2:25 | comment | added | bbgodfrey | @EmilioPisanty The first InterpolationFunction must be extrapolating in some way to obtain the blue curve in the third and fourth quadrants, because (as the error message notes) s stops at 0.9165575855524158. | |
| Nov 15, 2017 at 11:32 | comment | added | Emilio Pisanty | @J.M. Frankly, I don't understand why it's encountering any hiccups at that point - the RHS maps to 1, and that's smack in the safest zone of the principal branch of Power[]. The kink in Carl's plot seems to be extraneous, though - if I run that NDSolve, I get the same mxst error, and looking at the internals of the first InterpolatingFunction, it doesn't have any data at all in either the third or the fourth quadrants; the solution just stops at $s\approx 0.916\leftrightarrow y=0$. | |
| Nov 15, 2017 at 10:51 | comment | added | J. M.'s missing motivation | @Emilio, that might be related to the need to take the principal branch of Power[]. I'm guessing the solution you actually want corresponds to a different branch. | |
| Nov 15, 2017 at 7:30 | comment | added | Emilio Pisanty | This has an equivalent problem with the kink when the curve reaches the negative real axis. This one should be smooth and stay in the third quadrant. | |
| Nov 15, 2017 at 1:54 | comment | added | J. M.'s missing motivation | Was going to suggest this myself... (+1) | |
| Nov 15, 2017 at 1:45 | history | answered | Carl Woll | CC BY-SA 3.0 |