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ON THE DYNAMICS OF SOME NUMERICAL METHODS
https://doi.org/10.1142/S0129183100001310Cited by:2 (Source: Crossref)
Abstract
From numerical methods point of view of dynamical systems, we have determined dynamical behaviors of the corresponding systems (i.e., chaotic, stable, bifurcations possibility, etc.). New versions of numerical methods are derived and we have compared the dynamical behaviors of the continuous dynamical systems with their corresponding discrete dynamical systems. An application of partial differential equations is given for reaction-diffusion and telegraph equations.
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