Abstract
Approximate solutions to functional evolution equations are constructed through a combination of series and conjugation methods, and relative errors are estimated. The methods are illustrated, both analytically and numerically, by construction of approximate continuous functional iterates for x/1?x, sinx, and λx (1 ? x). Simple functional conjugation by these functions, and their inverses, substantially improves the numerical accuracy of formal series approximations for their continuous iterates.
| Original language | English (US) |
|---|---|
| Article number | 405205 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 44 |
| Issue number | 40 |
| DOIs | |
| State | Published - Oct 7 2011 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)