A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs

QR Code

A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs

This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results...

Full description

Bibliographic Details
Main Authors:	Alshareeda, Firas Adel Fawzi, Senu, Norazak, Ismail, Fudziah, Abdul Majid, Zanariah
Format:	Article
Language:	English
Published:	Indian Society for Education and Environment 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/51861/ http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf

Similar Items

Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, 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 new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
by: Demba, Musa Ahmed, et al.
Published: (2016)

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)

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

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

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

New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
by: Alshareeda, Firas Adel Fawzi, 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)

Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
by: Md Ariffin, Latifah, et al.
Published: (2018)

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)

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)

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

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)

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

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

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)

Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation
by: Senu, Norazak, et al.
Published: (2022)

A trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström pair to solve oscillating systems
by: Ahmed Demba, Musa, et al.
Published: (2022)

Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
by: Ariffin, L. M., et al.
Published: (2014)

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

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)

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)

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

Trigonometrically-fitted explicit Runge-Kutta-Nystrom methods for solving special second order ordinary differential equations with periodic solutions
by: Demba, Musa Ahmed
Published: (2016)

Efficient frequency-dependent coefficients of explicit improved two-derivative Runge-Kutta type methods for solving third order IVPs
by: Chien, Lee Khai, et al.
Published: (2023)

Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, 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)

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)

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)

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

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

Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs
by: Senu, Norazak, et al.
Published: (2016)

Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
by: Ismail, Fudziah, et al.
Published: (2009)

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

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

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)

Composite group of explicit Runge-Kutta methods
by: Abd Hamid, Fatin Nadiah, et al.
Published: (2016)