Weighted Block Runge-Kutta methods for solving stiff ordinary differential equations

QR Code

Weighted Block Runge-Kutta methods for solving stiff ordinary differential equations

Weighted Block Runge-Kutta (WBRK) methods are derived to solve first order stiff ordinary differential equations (ODEs). The proposed methods approximate solutions at two points concurrently in a block at each step. Three sets of weight are chosen and implemented to the WBRK methods. Stability regio...

Full description

Bibliographic Details
Main Author:	Jana Aksah, Saufianim
Format:	Thesis
Language:	English
Published:	2016
Subjects:	Computer science Numerical analysis
Online Access:	http://psasir.upm.edu.my/id/eprint/75482/ http://psasir.upm.edu.my/id/eprint/75482/1/FS%202016%2022.pdf

Similar Items

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

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

Weighted block Runge-Kutta method 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)

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

Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
by: Rahim, Yong Faezah
Published: (2004)

Direct one-step block methods for solving general second order non-stiff ordinary differential equations
by: Mukhtar, Nur Zahidah
Published: (2011)

Coupled block method for solving ordinary and delay differential equations
by: Hue, Chi San
Published: (2011)

Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
by: Din, Ummul Khair Salma
Published: (2009)

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

Solving ordinary differential equations using block multistep method
by: Mehrkanoon, Siamak
Published: (2011)

Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
by: Salih, Mohammed Mahmood
Published: (2016)

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

Second derivative block methods for solving first and higher order ordinary differential equations
by: Turki, Mohammed Yousif
Published: (2018)

Hybrid methods for solving higher order ordinary differential equations
by: Jikantoro, Yusuf Dauda
Published: (2018)

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

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

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

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

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

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

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

Stability analysis of singly diagonally implicit block backward differentiation formulas for stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2019)

Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)

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

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

Predictor corrector block methods for solving ordinary differential equations
by: Waeleh, Nazreen
Published: (2011)

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)

Parallel Block Methods for Solving Ordinary Differential Equations
by: Abdul Majid, Zanariah
Published: (2004)

Block one-step methods for solving stiff differential equations
by: Mohd Zabidi, Muhammad Izzat Zakwan
Published: (2014)

One-step block methods for solving ordinary and delay differential equations
by: Mohd Radzi, Hazwani
Published: (2011)

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

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

Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
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)

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

Block multistep methods for solving first order retarded and neutral delay differential equations
by: Abdul Aziz, Nurul Huda
Published: (2015)

Block backward differentiation formulas for solving first and second order fuzzy differential equations
by: Tiaw, Kah Fook
Published: (2016)

Method of lines and runge-kutta method in solving partial differential equation for heat equation
by: Manshoor, Bukhari, et al.
Published: (2021)

Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
by: Ismail, Nur Inshirah Naqiah
Published: (2019)