An adapted explicit hybrid four-step method for the numerical solution of perturbed oscillators

被引：0

作者：

Liu, Shiwei ^{[1
]}

Zheng, Juan ^{[1
]}

Fang, Yonglei ^{[1
]}

You, Xiong ^{[2
]}

机构：

[1] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

[2] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2018年 / 56卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Adapted explicit hybrid method; Scheifele's G-function; Perturbed oscillators; INITIAL-VALUE-PROBLEMS; RUNGE-KUTTA METHODS; RADIAL SCHRODINGER-EQUATION; VANISHED PHASE-LAG; MULTISTEP METHODS; ARKN METHODS; DIFFERENTIAL-EQUATIONS; 2-STEP METHODS; FITTED METHODS; INTEGRATION;

D O I：

10.1007/s10910-017-0842-9

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, the construction of an adapted explicit hybrid four-step method for the numerical integration of perturbed oscillators is investigated. This four-step method is based on the algorithm of Scheifele which is obtained by refining the classical method of power series. The local truncation error, phase properties and linear stability of the new method are analyzed. Numerical experiments are reported to show the high accuracy and efficiency of the new method when it is compared with some high-quality methods recently proposed in the literature.

引用

页码：1117 / 1129

页数：13

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