Abstract
A novel method for integrating ordinary differential equations (ODEs), based on the Taylor series concept, was developed by the authors inter alia. In this paper the basic concept is explained and some examples of its use are provided. The formulation is indicated for both fixed and variable step size versions. The performance of the method with respect to speed and accuracy is compared to a general-purpose Bulirsch-Stoer scheme for a variety of non-linear equations, and the results indicate that the method is a viable and attractive alternative to standard numerical integration.
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