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) |
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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)