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2016•Journal of Interdisciplinary MathematicsRequires access

Parameter perturbation extrapolation algorithm for Runge-Kutta methods

Weijing Zhao, Zhaoning Zhang

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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.

About this research paper

What this paper is about

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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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Extrapolation, Runge–Kutta methods, Perturbation (astronomy), Mathematics, Applied mathematics, Algorithm, Mathematical analysis, Numerical analysis

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