A third order Nakashima type implicit Pseudo Runge-Kutta method for delay differential equations
A third order Nakashima type implicit Pseudo Runge-Kutta method is presented. The free parameter was determined by minimizing the error bound. The stability region of the method was presented. Some problems on delay differential equations are tested to compare the accuracy of the proposed method wit...
| Main Author: | Lim, Tian Hwee |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2014
|
| Online Access: | http://journalarticle.ukm.my/7524/ http://journalarticle.ukm.my/7524/1/18_Lim_Tian.pdf |
Similar Items
A third-order Nakashima pseudo-Runge-Kutta method
by: Lim, Tian Hwee
Published: (2014)
by: Lim, Tian Hwee
Published: (2014)
Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
by: Lee, Khai Chien
Published: (2022)
by: Lee, Khai Chien
Published: (2022)
Runge-kutta type methods for solving special third and fourth order ordinary differential equations
by: Hussain, Kasim Abbas
Published: (2017)
by: Hussain, Kasim Abbas
Published: (2017)
Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017)
by: Alshareeda, Firas Adel Fawzi
Published: (2017)
Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
by: Ismail, Fudziah, et al.
Published: (2008)
by: Ismail, Fudziah, et al.
Published: (2008)
Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations
by: Mohd Radzi, Hazwani, et al.
Published: (2011)
by: Mohd Radzi, Hazwani, et al.
Published: (2011)
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
by: Rokiah @ Rozita Ahmad,, et al.
Published: (2010)
by: Rokiah @ Rozita Ahmad,, et al.
Published: (2010)
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)
by: Ahmad, Nur Amirah
Published: (2020)
Stability analysis of diagonally implicit two derivative runge-kutta methods for solving delay differential equations
by: Ahmad, N. A., et al.
Published: (2022)
by: Ahmad, N. A., et al.
Published: (2022)
The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
by: Ismail, Fudziah, et al.
Published: (2000)
by: Ismail, Fudziah, et al.
Published: (2000)
Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
by: Ismail, Fudziah
Published: (1999)
by: Ismail, Fudziah
Published: (1999)
Fourth order four-stage diagonally implicit Runge-Kutta method for linear ordinary differential equations
by: Che Jawias, Nur Izzati, et al.
Published: (2010)
by: Che Jawias, Nur Izzati, et al.
Published: (2010)
Stochastic Runge-Kutta method for stochastic delay differential equations
by: Norhayati, Rosli
Published: (2012)
by: Norhayati, Rosli
Published: (2012)
Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)
Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
by: Din, Ummul Khair Salma
Published: (2009)
by: Din, Ummul Khair Salma
Published: (2009)
Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
by: Rahim, Yong Faezah
Published: (2004)
by: Rahim, Yong Faezah
Published: (2004)
Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
by: Che Jawias, Nur Izzati
Published: (2009)
by: Che Jawias, Nur Izzati
Published: (2009)
Runge-kutta type methods for solving high-order ordinary differential equations
by: Ghawadri, Nizam Ghannam Fayez
Published: (2018)
by: Ghawadri, Nizam Ghannam Fayez
Published: (2018)
Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2017)
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)
by: Hussain, Kasim Abbas, et al.
Published: (2017)
Solving delay differential equations by Runge-Kutta method using different types of interpolation
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)
Integration for special third-order ordinary differential equations using improved Runge-Kutta direct method
by: Hussain, Kasim Abbas, et al.
Published: (2015)
by: Hussain, Kasim Abbas, et al.
Published: (2015)
Singly diagonally implicit Runge-Kutta fifth order five-stage method for linear ordinary differential equations
by: Ismail, Fudziah, et al.
Published: (2009)
by: Ismail, Fudziah, et al.
Published: (2009)
2-stage Stochastic Runge-Kutta for Stochastic Delay Differential Equations
by: Norhayati, Rosli, et al.
Published: (2014)
by: Norhayati, Rosli, et al.
Published: (2014)
2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations
by: Norhayati, Rosli, et al.
Published: (2015)
by: Norhayati, Rosli, et al.
Published: (2015)
Solving Delay Differential Equations Using Explicit Runge-Kutta Method
by: Aung, San Lwin
Published: (2004)
by: Aung, San Lwin
Published: (2004)
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)
by: Md Ariffin, Latifah, et al.
Published: (2013)
Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
by: Fudziah Ismail,, et al.
Published: (2010)
by: Fudziah Ismail,, et al.
Published: (2010)
Stability Analysis of Explicit and Implicit Stochastic
Runge-Kutta Methods for Stochastic Differential
Equations
by: Adam, Samsudin, et al.
Published: (2017)
by: Adam, Samsudin, et al.
Published: (2017)
Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013)
by: Mechee, Mohammed, et al.
Published: (2013)
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)
by: Senu, Norazak, et al.
Published: (2014)
Numerical study of third-order ordinary differential equations using a new class of two derivative Runge-Kutta type methods
by: Lee, Khai Chien, et al.
Published: (2020)
by: Lee, Khai Chien, et al.
Published: (2020)
Solving delay differential equations using intervalwise partitioning by Runge–Kutta method
by: Ismail, Fudziah, et al.
Published: (2001)
by: Ismail, Fudziah, et al.
Published: (2001)
Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method
by: Suleiman, Mohamed, et al.
Published: (2001)
by: Suleiman, Mohamed, et al.
Published: (2001)
Comparison of interpolations used in solving delay differential equations by runge-kutta method
by: Ismail, Fudziah, et al.
Published: (2003)
by: Ismail, Fudziah, et al.
Published: (2003)
Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2015)
by: Hussain, Kasim Abbas, et al.
Published: (2015)
Diagonally implicit Runge-Kutta fourth order four-stage method for linear ordinary differential equations with minimized error norm
by: Che Jawias, Nur Izzati, et al.
Published: (2009)
by: Che Jawias, Nur Izzati, et al.
Published: (2009)
Solving linear ordinary differential equations using Singly diagonally implicit Runge-Kutta fifth order five-stage method
by: Ismail, Fudziah, et al.
Published: (2009)
by: Ismail, Fudziah, et al.
Published: (2009)
Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation
by: Senu, Norazak, et al.
Published: (2022)
by: Senu, Norazak, et al.
Published: (2022)
Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
by: Hussain, Kasim, et al.
Published: (2016)
by: Hussain, Kasim, et al.
Published: (2016)
Similar Items
-
A third-order Nakashima pseudo-Runge-Kutta method
by: Lim, Tian Hwee
Published: (2014) -
Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
by: Lee, Khai Chien
Published: (2022) -
Runge-kutta type methods for solving special third and fourth order ordinary differential equations
by: Hussain, Kasim Abbas
Published: (2017) -
Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017) -
Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
by: Ismail, Fudziah, et al.
Published: (2008)