Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method

QR Code

Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method

Runge-Kutta-Nyström (RKN) method is adapted for solving the special second order delay differential equations (DDEs). The stability polynomial is obtained when this method is used for solving linear second order delay differential equation. A standard set of test problems is solved using the method...

Full description

Bibliographic Details
Main Authors:	Mechee, Mohammed, Ismail, Fudziah, Senu, Norazak, Siri, Zailan
Format:	Article
Language:	English English
Published:	Hindawi Publishing Corporation 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30053/ http://psasir.upm.edu.my/id/eprint/30053/1/Directly%20solving%20special%20second%20order%20delay%20differential%20equations%20using%20Runge.pdf

Similar Items

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

Embedded explicit Runge–Kutta type methods for directly solving special third order differential equations y‴=f(x,y)
by: Senu, Norazak, et al.
Published: (2014)

A three-stage fifth-order Runge-Kutta method for directly solving special third-order differential equation with application to thin film flow problem
by: Mechee, Mohammed, et al.
Published: (2013)

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

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

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

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

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

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

A three-stage explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2012)

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

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

Two Step Runge-Kutta-Nyström method for solving second order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)

Two step runge-KUTTA-nystrom method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)

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

Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs
by: Al-Khasawneh, Raed Ali, et al.
Published: (2007)

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

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)

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

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)

Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
by: Rabiei, Faranak, et al.
Published: (2013)

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

Parallel Execution of Runge-Kutta Methods for Solving Ordinary Differential Equations
by: Siri, Zailan
Published: (2004)

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

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

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

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)

Explicit Runge-Kutta-Nyström methods with high order dispersion and dissipation for solving oscillatory second order ordinary differential equation
by: Mohamad, Munirah
Published: (2013)

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

Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')
by: Salama, Tahani Mohamed, et al.
Published: (2018)

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)

A zero-dissipative runge-kutta-nystrom method 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)

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

Two derivative and three derivative Runge-Kutta- Nyström methods for second-order ordinary differential equations
by: Salama, Tahani Mohamed
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)

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)

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)

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