An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability

An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability

In this paper, a new Runge-Kutta method be presented which has the fifth order local truncation error with lower function evaluation in comparison with classical one's. Also we use the generalized derivative instead of Seikkala's derivative to illustrate the efficiency of this derivative....

תיאור מלא

מידע ביבליוגרפי
Main Authors:	Ahmadian, Ali, Suleiman, Mohamed, Ismail, Fudziah, Salahshour, Soheil
פורמט:	Conference or Workshop Item
שפה:	English
יצא לאור:	American Institute of Physics 2012
גישה מקוונת:	http://psasir.upm.edu.my/id/eprint/57511/1/An%20improved%20Runge-Kutta%20method%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf

פריטים דומים

Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
מאת: Rabiei, Faranak, et al.
יצא לאור: (2013)

Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability
מאת: Ahmadian, Ali, et al.
יצא לאור: (2018)

Improved Runge-Kutta methods for solving ordinary differential equations
מאת: Faranak Rabiei,, et al.
יצא לאור: (2013)

Improved Runge-Kutta methods for solving ordinary differential equations
מאת: Rabiei, Faranak, et al.
יצא לאור: (2013)

Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method
מאת: Suleiman, Mohamed, et al.
יצא לאור: (2001)

Solving delay differential equations using intervalwise partitioning by Runge–Kutta method
מאת: Ismail, Fudziah, et al.
יצא לאור: (2001)

A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”
מאת: Dizicheh, Ali Karimi, et al.
יצא לאור: (2013)

Comparison of interpolations used in solving delay differential equations by runge-kutta method
מאת: Ismail, Fudziah, et al.
יצא לאור: (2003)

Numerical solution of fuzzy differential equation using improved Runge-Kutta method
מאת: Rabiei, Faranak, et al.
יצא לאור: (2014)

Parallel runge-kutta methods for solving linear stiff ordinary differential equations
מאת: Din, Ummul Khair Salma, et al.
יצא לאור: (2009)

Solving fuzzy differential equation using fourth-order four-stage improved Runge– Kutta method
מאת: Rabiei, Faranak, et al.
יצא לאור: (2016)

Partitioning ordinary differential equations using Runge-Kutta methods
מאת: Suleiman, Mohamed, et al.
יצא לאור: (1996)

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

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

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

An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations
מאת: Ali Ahmadian, et al.
יצא לאור: (2013-01-01)

Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations
מאת: Mohd Radzi, Hazwani, et al.
יצא לאור: (2011)

The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
מאת: Ismail, Fudziah, et al.
יצא לאור: (2000)

A fractional multistep method for solving a class of linear fractional differential equations under uncertainty
מאת: Ahmadian, Ali, et al.
יצא לאור: (2015)

Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
מאת: Ismail, Fudziah, et al.
יצא לאור: (2008)

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

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

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

Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations
מאת: Hussain, Kasim Abbas, et al.
יצא לאור: (2017)

Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations
מאת: Hussain, Kasim Abbas, et al.
יצא לאור: (2017)

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

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

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

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

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

Fourth order four-stage diagonally implicit Runge-Kutta method for linear ordinary differential equations
מאת: Che Jawias, Nur Izzati, et al.
יצא לאור: (2010)

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

Solving Delay Differential Equations Using Explicit Runge-Kutta Method
מאת: Aung, San Lwin
יצא לאור: (2004)

Parallel Execution of Runge-Kutta Methods for Solving Ordinary Differential Equations
מאת: Siri, Zailan
יצא לאור: (2004)

On Runge–Kutta-type methods for solving multidimensional stochastic differential equations
מאת: Jurgis Navikas
יצא לאור: (2023-09-01)

A new fourth-order explicit Runge-Kutta method for solving first order ordinary differential equations
מאת: Jikantoro, Yusuf Dauda, et al.
יצא לאור: (2012)

Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
מאת: Ismail, Fudziah, et al.
יצא לאור: (2009)

Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty
מאת: Hosseini, Ali Ahmadian, et al.
יצא לאור: (2016)

Hybrid runge-kutta method for solving linear fuzzy delay differential equations with unknown state-delays /
מאת: Lim, Rui Sih-, 1987- author 639243, et al.
יצא לאור: (2020)

Hybrid runge-kutta method for solving linear fuzzy delay differential equations with unknown state-delays/
מאת: Lim, Rui Sih-, 1987- author 639243
יצא לאור: (2020)