A Zero-Dissipative Runge-Kutta-Nystrom Method with Minimal Phase-Lag

被引：6

作者：

Senu, Norazak ^{[1
]}

Suleiman, Mohamed ^{[1
]}

Ismail, Fudziah ^{[1
]}

Othman, Mohamed ^{[2
]}

机构：

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

[2] Univ Putra Malaysia, Dept Commun Technol & Network, Fac Comp Sci & Informat Technol, Upm Serdang 43400, Selangor, Malaysia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷

关键词：

NUMERICAL-INTEGRATION;

D O I：

10.1155/2010/591341

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An explicit Runge-Kutta-Nystrom method is developed for solving second-order differential equations of the form q '' = f(t, q) where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed.

引用

页数：15

共 50 条

[1] A symplectic Runge-Kutta-Nystrom method with minimal phase-lag
Van de Vyver, H.
PHYSICS LETTERS A, 2007, 367 (1-2) : 16 - 24
[2] High-order zero-dissipative Runge-Kutta-Nystrom methods
Tsitouras, C
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 95 (1-2) : 157 - 161
[3] Symplectic Runge-Kutta-Nystrom Methods with Phase-Lag Order Six and Infinity
Kalogiratou, Z.
Monovasilis, Th.
Simos, T. E.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 694 - +
[4] A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nystrom Method for Solving Oscillatory Problems
Moo, K. W.
Senu, N.
Ismail, F.
Suleiman, M.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[5] A Five-Stage Singly Diagonally Implicit Runge-Kutta-Nystrom Method with Reduced Phase-lag
Wing, Moo Kwong
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 : 315 - 320
[6] RUNGE-KUTTA INTERPOLANTS WITH MINIMAL PHASE-LAG
SIMOS, TE
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 26 (08) : 43 - 49
[7] A new modified Runge-Kutta-Nystrom method with phase-lag of order infinity for the numerical solution of the Schrodinger equation and related problems
Simos, TE
Vigo-Aguiar, J
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2000, 11 (06): : 1195 - 1208
[8] The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nystrom Method
Papadopoulos, D. F.
Simos, T. E.
ABSTRACT AND APPLIED ANALYSIS, 2013,
[9] RUNGE-KUTTA-NYSTROM TRIPLES
DORMAND, JR
PRINCE, PJ
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1987, 13 (12) : 937 - 949
[10] A RUNGE-KUTTA-NYSTROM CODE
BRANKIN, RW
GLADWELL, I
DORMAND, JR
PRINCE, PJ
SEWARD, WL
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1989, 15 (01): : 31 - 40

← 1 2 3 4 5 →