A class of hybrid multistep block methods with a–stability for the numerical solution of stiff ordinary differential equations
Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A –stability are constructed by reformulating the BBDFs for the numeric...
| Main Authors: | Ibrahim, Zarina Bibi, Mohd Nasarudin, Amiratul Ashikin |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Multidisciplinary Digital Publishing Institute
2020
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/87576/ http://psasir.upm.edu.my/id/eprint/87576/1/ABSTRACT.pdf |
Similar Items
Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006)
by: Ibrahim, Zarina Bibi
Published: (2006)
Fixed Coefficients Block Backward Differentiation Formulas for the Numerical Solution of Stiff Ordinary Differential Equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2008)
by: Ibrahim, Zarina Bibi, et al.
Published: (2008)
Block backward differentiation formula with off-step points for solving first order stiff ordinary differential equations
by: Mohd Nasarudin, Amiratul Ashikin
Published: (2020)
by: Mohd Nasarudin, Amiratul Ashikin
Published: (2020)
Development of a-stable block method for the solution of stiff ordinary differential equations
by: Mohamad Noor, Nursyazwani, et al.
Published: (2019)
by: Mohamad Noor, Nursyazwani, et al.
Published: (2019)
Diagonally implicit block backward differentiation formula with optimal stability properties for stiff ordinary differential equations
by: Mohd Ijam, Hazizah, et al.
Published: (2019)
by: Mohd Ijam, Hazizah, et al.
Published: (2019)
Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas
by: Nor Ain Azeany Mohd Nasir,, et al.
Published: (2012)
by: Nor Ain Azeany Mohd Nasir,, et al.
Published: (2012)
Stability analysis of singly diagonally implicit block backward differentiation formulas for stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2019)
by: Jana Aksah, Saufianim, et al.
Published: (2019)
Partitioning ordinary differential equations using multistep formulas.
by: Suleiman, Mohamed, et al.
Published: (2008)
by: Suleiman, Mohamed, et al.
Published: (2008)
A numerical algorithm for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
Numerical solution of fuzzy differential equations by multistep block method
by: Isa, Syahirbanun, et al.
Published: (2015)
by: Isa, Syahirbanun, et al.
Published: (2015)
Solving ordinary differential equations using block multistep method
by: Mehrkanoon, Siamak
Published: (2011)
by: Mehrkanoon, Siamak
Published: (2011)
Numerical solution for stiff initial value problems using 2-point block multistep method
by: Mohamad Noor, N., et al.
Published: (2018)
by: Mohamad Noor, N., et al.
Published: (2018)
A new superclass of block backward differentiation formula for stiff ordinary differential equations
by: Suleiman, Mohamed, et al.
Published: (2014)
by: Suleiman, Mohamed, et al.
Published: (2014)
Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations
by: Othman, Khairil Iskandar, et al.
Published: (2012)
by: Othman, Khairil Iskandar, et al.
Published: (2012)
Solving stiff ordinary differential equations using extended block backward differentiation formulae.
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
Variable step three-point block methods for solving stiff ordinary differential equations
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
Weighted block Runge-Kutta method for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)
by: Jana Aksah, Saufianim, et al.
Published: (2016)
On the integration of stiff ODEs using block backward differentiation formulas of order six
by: Mohd Nasarudin, Amiratul Ashikin, et al.
Published: (2020)
by: Mohd Nasarudin, Amiratul Ashikin, et al.
Published: (2020)
Numerical solution of differential algebraic equations (DAEs) by mix-multistep method
by: Rahim, Yong Faezah, et al.
Published: (2013)
by: Rahim, Yong Faezah, et al.
Published: (2013)
Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)
by: Jana Aksah, Saufianim, et al.
Published: (2016)
Fixed coeficient A(α) stable block backward differentiation formulas for stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
Fixed coefficient A(α) stable block backward differentiation formulas for stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
A quantitative comparison of numerical method for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor, et al.
Published: (2011)
by: Mohd Yatim, Siti Ainor, et al.
Published: (2011)
Formulation of modified variable step block backward differentiation formulae for solving stiff ordinary differential equations
by: Asnor, Asma Izzati, et al.
Published: (2017)
by: Asnor, Asma Izzati, et al.
Published: (2017)
New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2015)
by: Jana Aksah, Saufianim, et al.
Published: (2015)
Numerical solution and stability of multistep method for solving delay differential equations.
by: Suleiman, Mohamed B., et al.
Published: (2010)
by: Suleiman, Mohamed B., et al.
Published: (2010)
Numerical solver of A(alpha)-stable for stiff ordinary differential equations
by: Rahimah, Jusoh, et al.
Published: (2023)
by: Rahimah, Jusoh, et al.
Published: (2023)
Second derivative multistep method for solving first-order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2016)
by: Turki, Mohammed Yousif, et al.
Published: (2016)
Block method for third order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)
by: Zainuddin, Nooraini, et al.
Published: (2016)
Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2012)
by: Ibrahim, Zarina Bibi, et al.
Published: (2012)
Block backward differentiation alpha-formulas for solving stiff ordinary differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2017)
by: Mohd Zawawi, Iskandar Shah
Published: (2017)
A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
by: Yatim, S. A. M., et al.
Published: (2012)
by: Yatim, S. A. M., et al.
Published: (2012)
Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, et al.
Published: (2008)
by: Othman, Khairil Iskandar, et al.
Published: (2008)
Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
by: Khoo, Kai Wen
Published: (2015)
by: Khoo, Kai Wen
Published: (2015)
Numerical solution of higher order ordinary differential equations by direct block code
by: Waeleh, Nazreen, et al.
Published: (2012)
by: Waeleh, Nazreen, et al.
Published: (2012)
A new fifth order implicit block method for solving first order stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2014)
by: Musa, Hamisu, et al.
Published: (2014)
Weighted Block Runge-Kutta methods for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim
Published: (2016)
by: Jana Aksah, Saufianim
Published: (2016)
Parallel block backward differentiation formulas for solving large systems of ordinary differential equations.
by: Ibrahim, Zarina Bibi, et al.
Published: (2010)
by: Ibrahim, Zarina Bibi, et al.
Published: (2010)
Numerical solution for solving second order ordinary differential equations using block method
by: Mukhtar, Nur Zahidah, et al.
Published: (2011)
by: Mukhtar, Nur Zahidah, et al.
Published: (2011)
Diagonally implicit block backward differentiation formulas for solving ordinary differential equations
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
Similar Items
-
Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006) -
Fixed Coefficients Block Backward Differentiation Formulas for the Numerical Solution of Stiff Ordinary Differential Equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2008) -
Block backward differentiation formula with off-step points for solving first order stiff ordinary differential equations
by: Mohd Nasarudin, Amiratul Ashikin
Published: (2020) -
Development of a-stable block method for the solution of stiff ordinary differential equations
by: Mohamad Noor, Nursyazwani, et al.
Published: (2019) -
Diagonally implicit block backward differentiation formula with optimal stability properties for stiff ordinary differential equations
by: Mohd Ijam, Hazizah, et al.
Published: (2019)