Approximate solutions of functional equations

Thomas Curtright, Xiang Jin, Cosmas Zachos

Research output: Contribution to journalArticle

1 Scopus citations

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 languageEnglish (US)
Article number405205
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number40
DOIs
StatePublished - Oct 7 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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