Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs

QR Code

Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs

In this paper, third-order 3-stage diagonally implicit Runge–Kutta–Nystrom method embedded in fourth-order 4-stage for solving special second-order initial value problems is constructed. The method has the property of minimized local truncation error as well as the last row of the coefficient matrix...

Full description

Bibliographic Details
Main Authors:	Al-Khasawneh, Raed Ali, Ismail, Fudziah, Suleiman, Mohamed
Format:	Article
Language:	English English
Published:	Elsevier 2007
Online Access:	http://psasir.upm.edu.my/id/eprint/7666/ http://psasir.upm.edu.my/id/eprint/7666/1/Embedded%20diagonally%20implicit%20Runge.pdf

Similar Items

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

Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
by: Fudziah Ismail,, et al.
Published: (2010)

Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs
by: Ahmed Demba, Musa, et al.
Published: (2022)

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

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

Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
by: Ismail, Fudziah
Published: (2010)

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

Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
by: Ismail, Fudziah, et al.
Published: (2008)

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

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

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)

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

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

Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
by: Ismail, Fudziah, et al.
Published: (1998)

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

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)

Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
by: Din, Ummul Khair Salma
Published: (2009)

Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
by: Rahim, Yong Faezah
Published: (2004)

Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
by: Che Jawias, Nur Izzati
Published: (2009)

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

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

The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
by: Ismail, Fudziah, et al.
Published: (2000)

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

Solving linear ordinary differential equations using Singly diagonally implicit Runge-Kutta fifth order five-stage method
by: Ismail, Fudziah, et al.
Published: (2009)

Comparison of interpolations used in solving delay differential equations by runge-kutta method
by: Ismail, Fudziah, et al.
Published: (2003)

Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
by: Ismail, Fudziah, et al.
Published: (2013)

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

Fourth order four-stage diagonally implicit Runge-Kutta method for linear ordinary differential equations
by: Che Jawias, Nur Izzati, et al.
Published: (2010)

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

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

Singly diagonally implicit Runge-Kutta fifth order five-stage method for linear ordinary differential equations
by: Ismail, Fudziah, 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 zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)

Stability analysis of diagonally implicit two derivative runge-kutta methods for solving delay differential equations
by: Ahmad, N. A., et al.
Published: (2022)

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

Development of high-order adaptive multi-step Runge–Kutta–Nyström method for solving special second-order ODEs
by: Abdulsalam, Athraa, et al.
Published: (2024)

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)

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)