Timeline for Power series solutions for nonlinear ordinary differential equations - references
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jul 26, 2022 at 11:04 | history | edited | Neil Strickland | CC BY-SA 4.0 |
Spelling in title
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| Jul 26, 2022 at 10:27 | history | edited | Gerald Edgar | CC BY-SA 4.0 |
improved title
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| Jul 26, 2022 at 8:52 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added a top-level tag; see: https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Oct 25, 2010 at 2:26 | vote | accept | AUK1939 | ||
| Oct 9, 2010 at 0:19 | answer | added | j.c. | timeline score: 2 | |
| Oct 8, 2010 at 23:35 | answer | added | The Mathemagician | timeline score: 1 | |
| Oct 8, 2010 at 22:28 | answer | added | mathphysicist | timeline score: 1 | |
| Sep 29, 2010 at 5:08 | comment | added | Martin Rubey | In case you need a package to play with, you may want to try FriCAS, and look at the routines seriesSolve (to obtain the first few coefficients), guessRec (to guess a recurrence) and guessADE (to guess a differential equation). Please email [email protected] or myself for more info. | |
| Sep 29, 2010 at 3:26 | comment | added | AUK1939 | Thanks, I'm actually not concerned too much about the theory at the moment. I want to see how the recurrence relations turn out. I know these will be nonlinear but would like to get "comfortable" with them. If that makes any sense. I am staring at an example in a paper where the author applies series methods. Turns out he gets a cubic recurrence relation and intstead of substituting a power series with all powers of x, he substitutes a power series with odd values only, I was wondering why this is. | |
| Sep 29, 2010 at 3:07 | comment | added | Deane Yang | Are you looking for more than a local existence and uniqueness theorem? If not, the statement and proof of the Cauchy-Kovalevski theorem for PDE's applies directly to a system of first order nonlinear ODE's. Any 2nd order nonlinear ODE can be "prolonged" into a system of first order nonlinear ODE's. | |
| Sep 29, 2010 at 2:34 | history | edited | AUK1939 | CC BY-SA 2.5 |
added 84 characters in body
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| Sep 29, 2010 at 2:16 | history | asked | AUK1939 | CC BY-SA 2.5 |