approximate solutions by truncated taylor series expansions of nonlinear differential equations and related shadowing property with applications
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2014
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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 ti∈[t0,tJ] for i=0,1,…,J of the solution. Two examples are provided.
| Reference Key |
sen2014abstractapproximate
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|---|---|
| Authors | ;M. De la Sen;A. Ibeas;R. Nistal |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/956318
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| URL | |
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