Timeline for Why does NDSolve fail to converge when solving for Sadowsky ribbon with nonzero θ?
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| S Nov 18 at 8:56 | vote | accept | Mikoto | ||
| Nov 18 at 8:56 | vote | accept | Mikoto | ||
| S Nov 18 at 8:56 | |||||
| Nov 18 at 4:30 | history | edited | bbgodfrey |
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| Nov 18 at 4:28 | answer | added | bbgodfrey | timeline score: 4 | |
| Nov 17 at 15:02 | comment | added | Alex Trounev | Please, see my answer with solution for $\theta =\pi/3$. | |
| Nov 17 at 13:17 | answer | added | Alex Trounev | timeline score: 3 | |
| Nov 15 at 17:32 | comment | added | Mikoto | @AlexTrounev Yes, all these boundary conditions have been verified. However, if they turn out to result in the numerical difficulty, proper modifications can also be made. | |
| Nov 15 at 17:22 | comment | added | Alex Trounev |
Is this boundary condition correct Cos[\[Theta]] d1y[1] + d1z[1] Sin[\[Theta]] == 0?
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| Nov 15 at 15:30 | comment | added | Mikoto |
@AlexTrounev Yes, for example \[Theta] = Pi/3, or any value at range (0,Pi/2]
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| Nov 15 at 15:02 | comment | added | Alex Trounev |
In your code above \[Theta] = 0. Do you mean that we should make parametric research with $\theta$? Could you suggest what value $\theta$ we can use?
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| Nov 15 at 13:51 | comment | added | Mikoto | @AlexTrounev Thank you for your response! Could you please share the settings you used for the parameter θ? I am currently working with version 14.0 and would appreciate any additional details that might help with convergence. | |
| Nov 15 at 13:41 | comment | added | Alex Trounev |
In version 14.1 your code run well and converges to some solution. This option should be removed MaxIterations -> 10000.
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| Nov 15 at 12:39 | history | asked | Mikoto | CC BY-SA 4.0 |