Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods

QR Code

Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods

In this paper we used three embedded diagonally implicit Runge-Kutta methods to solve a standard set of delay differential equations. Some of the methods share the FSAL (first stage as last) property and the same stage order. The Q-stability polynomials of the methods are obtained and their stabili...

Full description

Bibliographic Details
Main Authors:	Ismail, Fudziah, Al-Khassawneh, Raed Ali
Format:	Article
Language:	English English
Published:	Vietnamese Academy of Science and Technology 2008
Subjects:	Runge-Kutta formulas Differential equations
Online Access:	http://psasir.upm.edu.my/id/eprint/16773/ http://psasir.upm.edu.my/id/eprint/16773/1/Solving%20delay%20differential%20equations%20using%20embedded%20singly%20diagonally%20implicit%20Runge.pdf

Similar Items

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 two and three derivative Runge-Kutta methods for solving first order oscillatory ordinary and delay differential equations
by: Ahmad, Nur Amirah
Published: (2020)

Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)

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

Runge-kutta type methods for solving high-order ordinary differential equations
by: Ghawadri, Nizam Ghannam Fayez
Published: (2018)

Improved Runge-Kutta type methods for solving ordinary and fuzzy differential equations
by: Rabiei, Faranak
Published: (2012)

Runge-kutta type methods for solving special third and fourth order ordinary differential equations
by: Hussain, Kasim Abbas
Published: (2017)

Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
by: Lee, Khai Chien
Published: (2022)

Solving Delay Differential Equations Using Explicit Runge-Kutta Method
by: Aung, San Lwin
Published: (2004)

Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
by: Ismail, Fudziah
Published: (1999)

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

Solving delay differential equations by Runge-Kutta method using different types of interpolation
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)

Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017)

Numerical solutions of single delay differential equations and special second order oscillatory initial value problems using Runge-Kutta and hybrid methods
by: Ahmad, Sufia Zulfa
Published: (2013)

Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
by: Ismail, Fudziah, et al.
Published: (2005)

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

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

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

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

A new scheme for solving goursat problem using newton-cotes integration formula / Ros Fadilah Deraman
by: Deraman, Ros Fadilah
Published: (2014)

Aligned MHD free convection flow of magnetic nanofluid over a moving vertical plate with convective boundary condition / Siti Nur Hidayatul Ashikin Ibrahim
by: Ibrahim, Siti Nur Hidayatul Ashikin
Published: (2020)

Runge-Kutta type direct methods for solving second and third order boundary value problems
by: Jasim Al-Ithawi, Athraa Abdulsalam
Published: (2019)

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

Perbandingan antara kaedah penguraian adomian multiperingkat (multistage adomian decomposition method [MADM]) dengan kaedah lelaran bervariasi multiperingkat (multistage variational iteration method [MVIM]) / Mat Salim Selamat
by: Selamat, Mat Salim
Published: (2008)

Semi analytical iterative method for solving Klein-Gordon equation / Mat Salim Selamat ... [et al.]
by: Selamat, Mat Salim, et al.
Published: (2020)

The epidemiological model for news dissemination via twitter / Nur Syafiqa Md Asri
by: Md Asri, Nur Syafiqa
Published: (2020)

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

A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
by: Senu, Norazak, et al.
Published: (2009)

Diagonally implicit multistep block method for solving delay volterra integro-differential equation
by: Baharum, Nur Auni
Published: (2023)

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

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

Comparing numerical method for the solution of epidemic model / Mat Salim Selamat
by: Selamat, Mat Salim
Published: (2006)

Diagonally implicit two point block backward differentiation formulas for solving stiff ordinary differential equations and fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2014)

Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations
by: Abd Rasid, Norshakila
Published: (2021)

Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
by: Mohd Ijam, Hazizah
Published: (2020)

Two-point diagonally implicit multistep block method for solving volterra integro-differential equation of second kind
by: Baharum, Nur Auni
Published: (2018)

Three-point diagonally implicit block methods for solving ordinary and fuzzy differential equations
by: Ismail, Nurzeehan
Published: (2014)

Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
by: Saufianim, Jana Aksah
Published: (2021)

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