Approximate solutions by truncated taylor series expansions of nonlinear differential equations and related shadowing property with applications

M. De La Sen, A. Ibeas, R. Nistal

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t i [ t 0, t J ] for i = 0,1,., J of the solution. Two examples are provided. © 2014 M. De la Sen et al.
Original languageEnglish
Article number956318
JournalAbstract and Applied Analysis
Volume2014
DOIs
Publication statusPublished - 1 Jan 2014

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