Improved Runge-Kutta methods for solving ordinary differential equations

QR Code

Improved Runge-Kutta methods for solving ordinary differential equations

In this article we proposed three explicit Improved Runge-Kutta (IRK) methods for solving first-order ordinary differential equations. These methods are two-step in nature and require lower number of stages compared to the classical Runge-Kutta method. Therefore the new scheme is computationally mor...

Full description

Bibliographic Details
Main Authors:	Faranak Rabiei, Fudziah Ismail, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2013
Online Access:	http://journalarticle.ukm.my/6635/ http://journalarticle.ukm.my/6635/1/20_Faranak_Rabiei.pdf

Similar Items

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

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

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

Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations
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)

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

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

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

Partitioning ordinary differential equations using Runge-Kutta methods
by: Suleiman, Mohamed, et al.
Published: (1996)

Integration for special third-order ordinary differential equations using improved Runge-Kutta direct method
by: Hussain, Kasim Abbas, et al.
Published: (2015)

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

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

An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability
by: Ahmadian, Ali, et al.
Published: (2012)

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

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

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

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

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

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

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

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

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

Weighted block Runge-Kutta method for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

Weighted Block Runge-Kutta methods for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim
Published: (2016)

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

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

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

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

Solving ordinary differential equation using fifth-order mean Runge-Kutta methods
by: Noorhelyna Razali,, et al.
Published: (2008)

Exponentially-fitted Runge-Kutta Nystrom method of order three for solving oscillatory problems
by: Rabiei, Faranak, et al.
Published: (2014)

Fourth order 4-stages improved Runge-Kutta method with minimized error norm
by: Rabiei, Faranak, et al.
Published: (2013)

Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, et al.
Published: (2016)

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

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

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

Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2015)

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