A Zero-Dissipative Runge-Kutta-Nyström Method with Minimal Phase-Lag-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-15
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Senu Norazak¹,Suleiman Mohamed¹,Ismail Fudziah¹,Othman Mohamed²

Affiliation:

1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, 43400 Selangor, Malaysia

2. Department of Communication Technology and Network, Faculty of Computer Science and Information Technology, Universiti Putra Malaysia, UPM Serdang, 43400 Selangor, Malaysia

Abstract

An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the formq′′=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.

Funder

Universiti Putra Malaysia

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2010/591341.pdf

Reference15 articles.

1. A symplectic Runge–Kutta–Nyström method with minimal phase-lag

2. New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrödinger equation

3. A 5(3) pair of explicit Runge–Kutta–Nyström methods for oscillatory problems