Timeline for Iterating the the ODE for Bessel function
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 22, 2022 at 21:26 | comment | added | Alan | by all means let get ugly... :-D | |
| Nov 22, 2019 at 13:26 | comment | added | Robert Israel | If $F_n$ is a particular solution to the $n$'th iteration, you can take $$F_{n+1}(x) = \frac{\pi}{2} \left( Y_\alpha(x) \int \frac{J_\alpha(x) F_n(x)}{x}\; dx - J_\alpha(x) \int \frac{Y_\alpha(x) F_n(x)}{x}\; dx \right)$$ You may be able to use integration by parts to reduce iterated integrals to single integrals, but things are going to get ugly... | |
| Nov 22, 2019 at 5:50 | comment | added | Alan | How would you find the solution to the $n$-th iteration of my problem? | |
| Nov 22, 2019 at 1:57 | history | answered | Robert Israel | CC BY-SA 4.0 |