Abstract
In this paper, in order to improve the accuracy of extrapolation Runge-Kutta methods, parameter perturbation is introduced on the basis of extrapolation algorithm, i.e., parameter perturbation extrapolation algorithm for Runge-Kutta (PPE-R-K) methods are presented. The numerical experiments show that PPE-R-K methods are of high precision, and it has obvious effects on inhibits the spread of error propagation.
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