Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications
Joint Authors
Nistal, R.
de La Sen, Manuel
Ibeas, Asier
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
de La Sen, Manuel& Ibeas, Asier& Nistal, R.. 2014. Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1034133
Modern Language Association (MLA)
de La Sen, Manuel…[et al.]. Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1034133
American Medical Association (AMA)
de La Sen, Manuel& Ibeas, Asier& Nistal, R.. Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1034133
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034133
