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

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ID: 147012
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.
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Authors M. De la Sen, A. Ibeas, R. Nistal
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Journal science and technology of advanced materials
Year 2014
DOI
10.1155/2014/956318
URL
http://dx.doi.org/10.1155/2014/956318
Keywords
mathematics

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