A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations

QR Code

A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations

We derived a two-step, four-stage, and fifth-order semi-implicit hybrid method which can be used for solving special second-order ordinary differential equations. The method is then trigonometrically fitted so that it is suitable for solving problems which are oscillatory in nature. The methods are...

Full description

Bibliographic Details
Main Authors:	Ahmad, Sufia Zulfa, Ismail, Fudziah, Senu, Norazak
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/52364/ http://psasir.upm.edu.my/id/eprint/52364/1/52364.pdf

Similar Items

A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)

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

Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2012)

Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2013)

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)

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)

Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2017)

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

A new fifth order implicit block method for solving first order stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2014)

Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
by: Ahmad, Nur Amirah, et al.
Published: (2019)

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

A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs
by: Fudziah Ismail,, et al.
Published: (2016)

A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs
by: Ismail, Fudziah, et al.
Published: (2016)

Extra derivative multistep methods with trigonometric fitting for oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2019)

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)

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)

Solving third order boundary value problem with fifth order method
by: Ahmad Zulkifli, Ahmad Shah Abdullah, et al.
Published: (2012)

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)

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

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

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

Fifth order 2−point implicit block method with an off-stage function for solving first order stiff initial value problems
by: Zainal, Siti Zhafirah
Published: (2014)

Fifth order predictor-corrector methods for solving third order delay differential equations
by: Hoo, Yann Seong, et al.
Published: (2014)

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)

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

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)

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)

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)

Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems
by: Jikantoro, Y. D., et al.
Published: (2015)

Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations
by: Mansor, Aini Fadhlina, et al.
Published: (2017)

Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs
by: Senu, Norazak, 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)

Two and three point implicit second derivative block methods for solving first order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2019)

Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems
by: Yusuf Dauda Jikantoro,, et al.
Published: (2015)

Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems
by: Jikantoro, Yusuf Dauda, et al.
Published: (2015)

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

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