Fitted modifications of Runge-Kutta-Nystrom pairs of orders 7(5) for addressing oscillatory problems

被引：8

作者：

Kovalnogov, Vladislav N. ^{[1
]}

Kornilova, Maria, I ^{[1
]}

Khakhalev, Yuri A. ^{[1
]}

Generalov, Dmitry A. ^{[1
]}

Simos, Theodore E. ^{[1
,2
,3
,4
,5
]}

Tsitouras, Charalampos ^{[6
]}

机构：

[1] Ulyanovsk State Tech Univ, Lab Interdisciplinary Problems Energy Prod, 32 Severny Venetz St, Ulyanovsk 432027, Russia

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Univ Western Macedonia, Dept Math, Kastoria 52100, Greece

[4] Neijiang Normal Univ, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

[5] Democritus Univ Thrace, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece

[6] Natl & Kapodistrian Univ Athens, Gen Dept, Euboea 34400, Psahna, Greece

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 01期

关键词：

initial value problem; numerical solution; periodic problems; Runge-Kutta-Nystrom;

D O I：

10.1002/mma.8510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Runge-Kutta-Nystrom pair of orders 7(5) using six stages per step have been discovered very recently. Here we modify four of its weights. The resulting method integrates exactly the harmonic oscillator psi ''=-mu(2)psi,mu is an element of R, which serves as model problem. The new weights are O(mu(2)) perturbations of the original ones. Order reduction which is usually present in such modifications is avoided. Numerical results over standard six stages pairs justify our efforts.

引用

收藏

页码：273 / 282

页数：10

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