Title :
Improved ARKN Methods Solving Perturbed Oscillators
Author :
Zhang, Mei ; Chen, Zhaoxia ; You, Xiong ; Yao, Xinmeng
Author_Institution :
Dept. of Appl. Math., Nanjing Agric. Univ., Nanjing, China
Abstract :
This paper presents a family of the improved ARKN (IARKN) methods which are enhancement of the ARKN methods for perturbed oscillators proposed by J. M. Franco. Order conditions are given, and a two-stage method of order three and a three-stage method of order four are constructed specifically. They are analyzed to have good stability and phase properties. Numerical experiments show the superiority of the new methods to some codes appeared in the literature in accuracy and efficiency.
Keywords :
Runge-Kutta methods; nonlinear systems; oscillators; perturbation techniques; stability; ARKN methods; perturbed oscillators; stability; Differential equations; Finite wordlength effects; Frequency; Mathematics; Oscillators; Stability analysis; Improved ARKN(IARKN) method; efficiency; order condition; phase property; stability;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.205
