The differential transformation method and Miller's recurrence
Classical Analysis and ODEs
2010-07-14 v1
Abstract
The differential transformation method (DTM) enables the easy construction of a power-series solution to a nonlinear differential equation. The exponentiation operation has not been specifically addressed in the DTM literature, and constructing it iteratively is suboptimal. The recurrence for exponentiating a power series by J.C.P. Miller provides a concise implementation of exponentiation by a positive integer for DTM. An equally-concise implementation of the exponential function is also provided.
Cite
@article{arxiv.1007.2178,
title = {The differential transformation method and Miller's recurrence},
author = {Hal Finkel},
journal= {arXiv preprint arXiv:1007.2178},
year = {2010}
}
Comments
5 pages