New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems

QR Code

New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems

In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results...

Full description

Bibliographic Details
Main Authors:	Alshareeda, Firas Adel Fawzi, Senu, Norazak, Ismail, Fudziah, Abdul Majid, Zanariah
Format:	Article
Language:	English
Published:	Research India Publications 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/27906/ http://psasir.upm.edu.my/id/eprint/27906/1/New%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf

Similar Items

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)

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)

Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)

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 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)

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

Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
by: Salih, Mohammed Mahmood
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)

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

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

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

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)

Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical IVPs
by: Ahmad, Nur Amirah, et al.
Published: (2017)

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

Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
by: Norazak Senu,, et al.
Published: (2021)

Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2021)

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

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

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

Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving y’’’ (x)=f (x,y,y’)
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2018)

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

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

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

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

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

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)

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)

Two point block multistep methods with trigonometric−fitting for solving oscillatory problems
by: Mansor, Aini Fadhlina, et al.
Published: (2019)

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

Explicit Integrator of Runge-Kutta Type for Direct Solution of u(4) = f (x, u, u', u'')
by: Ghawadri, Nizam, et al.
Published: (2019)

Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' )
by: Salama, Tahani Mohamed, et al.
Published: (2018)

Diagonally implicit Runge–Kutta type method for directly solving special fourth-order ordinary differential equations with ill-posed problem of a beam on elastic foundation
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2019)

Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2013)

Explicit integrator of Runge-Kutta type for direct solution of u(4) = f(x, u, u', u'')
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2019)