Approximation of Poles and Branch Points of Solutions to Certain Nonlinear Differential Equations Using Modified Piecewise Pade Approximations

A simple method is presented to numerically approximate the location of poles and branch point singularities of solutions to certain nonlinear differential equations. The general method uses a modified piecewise-Pade type of approximation. The formulas greatly simplify in the case of second order no...

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Bibliographic Details
Main Authors: S. G. From, J. P. Maloney
Format: Article
Language:English
Published: SAGE Publishing 2010-03-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/1748-3018.4.1.15