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 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)
Fingerprint Dive into the research topics of 'Approximate solutions of functional equations'. Together they form a unique fingerprint.
Cite this
Curtright, T., Jin, X., & Zachos, C. (2011). Approximate solutions of functional equations. Journal of Physics A: Mathematical and Theoretical, 44(40), [405205]. https://doi.org/10.1088/1751-8113/44/40/405205