Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')

QR Code

Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')

This paper proposes and investigates a special class of explicit Runge-Kutta-Nyström (RKN) methods for problems in the form y'' (x) = f (x,y, y') including third derivatives and denoted as STDRKN. The methods involve one evaluation of second derivative and many evaluations of third d...

Full description

Bibliographic Details
Main Authors:	Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri
Format:	Article
Language:	English
Published:	Hindawi 2018
Online Access:	http://psasir.upm.edu.my/id/eprint/72537/ http://psasir.upm.edu.my/id/eprint/72537/1/Efficient%20two%20derivative%20.pdf

Similar Items

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)

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 promising exponentially-fitted two-derivative Runge–Kutta–Nyström method for solving y′′=f(x,y): Application to Verhulst logistic growth model
by: Lee, K.C., et al.
Published: (2024)

A promising exponentially-fitted two-derivative Runge–Kutta–Nystrom method for solving y′′=f(x,y): Application to Verhulst logistic growth model
by: Lee, K.C., et al.
Published: (2024)

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)

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

Two derivative and three derivative Runge-Kutta- Nyström methods for second-order ordinary differential equations
by: Salama, Tahani Mohamed
Published: (2019)

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

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

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)

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

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)

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

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

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

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

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

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

Trigonometrically-fitted explicit Runge-Kutta-Nystrom methods for solving special second order ordinary differential equations with periodic solutions
by: Demba, Musa Ahmed
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 zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)

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

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

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

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)

Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
by: Ismail, Shahrina, et al.
Published: (2023)

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

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

Weighted block Runge-Kutta method for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

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

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

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)

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

Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

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

On two derivative Runge-Kutta type methods for solving u''' = f (x, u(x)) with application to thin film flow problem
by: Lee, Khai Chien, et al.
Published: (2020)

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