A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nystrom Method for Solving Oscillatory Problems

被引：8

作者：

Moo, K. W. ^{[1
]}

Senu, N. ^{[1
,2
]}

Ismail, F. ^{[1
,2
]}

Suleiman, M. ^{[1
,2
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

NUMERICAL-SOLUTION; CONSTRUCTION;

D O I：

10.1155/2014/985120

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new diagonally implicit Runge-Kutta-Nystrom (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived method has a variable coefficient with phase-lag of order infinity. The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature.

引用

页数：8

共 50 条

[41] Zero-Dissipative Trigonometrically Fitted Hybrid Method for Numerical Solution of Oscillatory Problems
Jikantoro, Yusuf Dauda
Ismail, Fudziah
Senu, Norazak
SAINS MALAYSIANA, 2015, 44 (03): : 473 - 482
[42] Runge-Kutta-Nystrom methods with equation dependent coefficients and reduced phase lag for oscillatory problems
Yang, Yanping
You, Xiong
Fang, Yonglei
JOURNAL OF MATHEMATICAL CHEMISTRY, 2017, 55 (01) : 259 - 277
[43] A four-stage implicit Runge-Kutta-Nystrom method with variable coefficients for solving periodic initial value problems
Ozawa, K
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 1999, 16 (01) : 25 - 46
[44] Collocation Runge-Kutta-Nystrom methods for solving second-order initial value problems
Hoang, N. S.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (12) : 2423 - 2444
[45] Trigonometrically fitted two-derivative Runge-Kutta-Nystrom methods for second-order oscillatory differential equations
Chen, Zhaoxia
Shi, Lei
Liu, Siyao
You, Xiong
APPLIED NUMERICAL MATHEMATICS, 2019, 142 : 171 - 189
[46] Construction of an optimized explicit Runge-Kutta-Nystrom method for the numerical solution of oscillatory initial value problems
Kosti, A. A.
Anastassi, Z. A.
Simos, T. E.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) : 3381 - 3390
[47] Directly Solving Special Second Order Delay Differential Equations Using Runge-Kutta-Nystrom Method
Mechee, M.
Ismail, F.
Senu, N.
Siri, Z.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[48] Exponentially-fitted Runge-Kutta-Nystrom method for the numerical solution of initial-value problems with oscillating solutions
Simos, TE
APPLIED MATHEMATICS LETTERS, 2002, 15 (02) : 217 - 225
[49] A Modified Runge-Kutta-Nystrom Method by using Phase Lag Properties for the Numerical Solution of Orbital Problems
Papadopoulos, Dimitris F.
Simos, T. E.
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (02): : 433 - 437
[50] Implicit symmetric and symplectic exponentially fitted modified Runge–Kutta–Nyström methods for solving oscillatory problems
Bing Zhen Chen
Wen Juan Zhai
Journal of Inequalities and Applications, 2018

← 1 2 3 4 5 →