A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”
In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the “exact solution” suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the...
| Main Authors: | Dizicheh, Ali Karimi, Salahshour, Soheil, Ismail, Fudziah |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30363/ http://psasir.upm.edu.my/id/eprint/30363/1/A%20note%20on.pdf |
Similar Items
Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
by: Rabiei, Faranak, et al.
Published: (2013)
by: Rabiei, Faranak, et al.
Published: (2013)
An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability
by: Ahmadian, Ali, et al.
Published: (2012)
by: Ahmadian, Ali, et al.
Published: (2012)
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)
Numerical solution of fuzzy differential equation using improved Runge-Kutta method
by: Rabiei, Faranak, et al.
Published: (2014)
by: Rabiei, Faranak, et al.
Published: (2014)
Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
by: Ismail, Fudziah
Published: (1999)
by: Ismail, Fudziah
Published: (1999)
Solving fuzzy differential equation using fourth-order four-stage improved Runge– Kutta method
by: Rabiei, Faranak, et al.
Published: (2016)
by: Rabiei, Faranak, et al.
Published: (2016)
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)
A new fourth-order explicit Runge-Kutta method for solving first order ordinary differential equations
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)
Construction of improved Runge-Kutta Nystrom method for solving second-order ordinary differential equations
by: Rabiei, Faranak, et al.
Published: (2012)
by: Rabiei, Faranak, et al.
Published: (2012)
Improved Runge-Kutta methods for solving ordinary differential equations
by: Faranak Rabiei,, et al.
Published: (2013)
by: Faranak Rabiei,, et al.
Published: (2013)
Improved Runge-Kutta methods for solving ordinary differential equations
by: Rabiei, Faranak, et al.
Published: (2013)
by: Rabiei, Faranak, et al.
Published: (2013)
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)
Partitioning ordinary differential equations using Runge-Kutta methods
by: Suleiman, Mohamed, et al.
Published: (1996)
by: Suleiman, Mohamed, et al.
Published: (1996)
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)
Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)
by: Dizicheh, Ali Karimi
Published: (2014)
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)
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 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)
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)
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)
On new solutions of linear system of first -order fuzzy differential equations with fuzzy coefficient
by: Dizicheh, A. Karimi, et al.
Published: (2016)
by: Dizicheh, A. Karimi, et al.
Published: (2016)
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)
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)
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)
by: Hussain, Kasim, et al.
Published: (2015)
Solving ordinary differential equation using
fifth-order mean Runge-Kutta methods
by: Noorhelyna Razali,, et al.
Published: (2008)
by: Noorhelyna Razali,, et al.
Published: (2008)
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)
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)
Parallel runge-kutta methods for solving linear stiff ordinary differential equations
by: Din, Ummul Khair Salma, et al.
Published: (2009)
by: Din, Ummul Khair Salma, et al.
Published: (2009)
Two Step Runge-Kutta-Nyström method for solving second order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)
by: Md Ariffin, Latifah
Published: (2016)
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)
Two step runge-KUTTA-nystrom method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)
by: Md Ariffin, Latifah
Published: (2016)
Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
by: Ismail, Fudziah
Published: (2010)
by: Ismail, Fudziah
Published: (2010)
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)
Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, et al.
Published: (2016)
by: Hussain, Kasim Abbas, et al.
Published: (2016)
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)
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)
Similar Items
-
Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
by: Rabiei, Faranak, et al.
Published: (2013) -
An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability
by: Ahmadian, Ali, et al.
Published: (2012) -
Third-order harmonic mean Runge-Kutta formulae
for solving ordinary differential equations
by: Rokiah @ Rozita Ahmad,, et al.
Published: (2010) -
Numerical solution of fuzzy differential equation using improved Runge-Kutta method
by: Rabiei, Faranak, et al.
Published: (2014) -
Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
by: Ismail, Fudziah
Published: (1999)