Approximate solutions of functional equations

作者:Curtright Thomas*; Jin Xiang; Zachos Cosmas
来源:Journal of Physics A-Mathematical and Theoretical, 2011, 44(40): 405205.
DOI:10.1088/1751-8113/44/40/405205

摘要

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 x/1-x, sin x, and gimel x (1-x). Simple functional conjugation by these functions, and their inverses, substantially improves the numerical accuracy of formal series approximations for their continuous iterates.

  • 出版日期2011-10-7