A new optimized Runge-Kutta method for solving oscillatory problems

QR Code

A new optimized Runge-Kutta method for solving oscillatory problems

A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show t...

Full description

Bibliographic Details
Main Authors:	Hussain, Kasim, Ismail, Fudziah, Senu, Norazak
Format:	Article
Language:	English
Published:	Academic Publications 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/51860/ http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf

Similar Items

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

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

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

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

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

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

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

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

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 fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2012)

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

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)

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)

Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
by: Hussain, Kasim, 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 fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
by: Demba, Musa Ahmed, et al.
Published: (2016)

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

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)

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

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)

Zero-dissipative explicit Runge-Kutta method for periodic initial value problems
by: Senu, Norazak, et al.
Published: (2014)

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)

Optimized hybrid methods for solving oscillatory second order initial value problems
by: Senu, Norazak, et al.
Published: (2015)

Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, 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 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
by: Norazak Senu,, et al.
Published: (2010)

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

Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017)

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

Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
by: Ahmad, Nur Amirah, et al.
Published: (2019)

Two embedded pairs of Runge-Kutta type methods for direct solution of special fourth-order ordinary differential equations
by: Hussain, Kasim, et al.
Published: (2015)

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)

Block hybrid method with trigonometric-fitting for solving oscillatory problems
by: Fudziah Ismail,, et al.
Published: (2018)

Block hybrid method with trigonometric-fitting for solving oscillatory problems
by: Ismail, Fudziah, et al.
Published: (2018)

New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems
by: Ahmad, Nur Amirah, et al.
Published: (2016)

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)