Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications
| Autor: | M. De la Sen, A. Ibeas, R. Nistal |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2014/956318 |
| Popis: | 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 ti∈[t0,tJ] for i=0,1,…,J of the solution. Two examples are provided. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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