A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems

QR Code

A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems

In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential...

Full description

Bibliographic Details
Main Authors:	Moo, Kwong Wing, Senu, Norazak, Ismail, Fudziah, Suleiman, Mohamed
Format:	Conference or Workshop Item
Language:	English
Published:	AIP Publishing LLC 2012
Online Access:	http://psasir.upm.edu.my/id/eprint/57315/ http://psasir.upm.edu.my/id/eprint/57315/1/A%20fourth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20oscillatory%20problems.pdf

Similar Items

New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2013)

A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2014)

Exponentially-fitted Runge-Kutta Nystrom method of order three for solving oscillatory problems
by: Rabiei, Faranak, et al.
Published: (2014)

An embedded explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)

Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
by: Senu, Norazak
Published: (2010)

A zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)

Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, et al.
Published: (2016)

Fifth order Runge-Kutta-Nyström methods for solving linear second order oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2016)

A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
by: Senu, Norazak, et al.
Published: (2009)

A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
by: Mohamad, Munirah, et al.
Published: (2013)

New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
by: Demba, Musa Ahmed, et al.
Published: (2016)

A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
by: Senu, Norazak, et al.
Published: (2011)

A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs
by: Moo, Kwong Wing, et al.
Published: (2013)

A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
by: Demba, Musa Ahmed, et al.
Published: (2016)

A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag
by: Moo, Kwong Wing, et al.
Published: (2012)

Phase fitted and amplification fitted of Runge-Kutta-Fehlberg method of order 4(5) for solving oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2020)

A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)

New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)

Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods
by: Demba, Musa A., et al.
Published: (2016)

A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2015)

A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag
by: Senu, Norazak, et al.
Published: (2010)

An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
by: Mohamad, Munirah, et al.
Published: (2012)

A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
by: Demba, Musa A., et al.
Published: (2016)

A new optimized Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim, et al.
Published: (2016)

A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2010)

Construction of improved Runge-Kutta Nystrom method for solving second-order ordinary differential equations
by: Rabiei, Faranak, et al.
Published: (2012)

A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
by: Senu, Norazak, et al.
Published: (2012)

High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems
by: Lee, Khai Chien, et al.
Published: (2021)

Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems
by: Ahmad, Nur Amirah, et al.
Published: (2016)

Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013)

Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)

Kaedah pasangan 4(3) Runge-Kutta-Nystrom untuk masalah nilai awal berkala
by: Senu, Norazak, et al.
Published: (2010)

A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)

Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2015)

A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
by: Fawzi, F. A., et al.
Published: (2016)

A new fourth-order explicit Runge-Kutta method for solving first order ordinary differential equations
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)

Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
by: Hussain, Kasim, et al.
Published: (2016)

Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2017)

Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2017)

Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems
by: Senu, Norazak, et al.
Published: (2017)