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arXiv · 1105.3664

Approximate Solutions of Functional Equations

Thomas Curtright·Xiang Jin·Cosmas Zachos
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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), sin x, and {\lambda}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.

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Thomas Curtright, Xiang Jin, Cosmas Zachos. 2011-05-18. Approximate Solutions of Functional Equations. https://doi.org/10.1088/1751-8113/44/40/405205

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