A quantitative comparison of numerical method for solving stiff ordinary differential equations
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computatio...
| Main Authors: | Mohd Yatim, Siti Ainor, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Suleiman, Mohamed |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/25026/ http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf |
Similar Items
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)
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)
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)
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)
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)
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)
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)
Variable step variable order block backward differentiation formulae for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor
Published: (2013)
by: Mohd Yatim, Siti Ainor
Published: (2013)
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)
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)
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)
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)
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)
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)
Variable order block method for solving second order
ordinary differential equations
by: Zarina Bibi Ibrahim,, et al.
Published: (2019)
by: Zarina Bibi Ibrahim,, et al.
Published: (2019)
Variable order block method for solving second order ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
Partitioning techniques and their parallelization for stiff system of ordinary differential equations
by: Othman, Khairil Iskandar
Published: (2007)
by: Othman, Khairil Iskandar
Published: (2007)
On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)
Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)
by: Zainuddin, Nooraini, et al.
Published: (2016)
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)
Block backward differentiation formulas with automatic order selection for solving ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2014)
by: Ibrahim, Zarina Bibi, et al.
Published: (2014)
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)
Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006)
by: Ibrahim, Zarina Bibi
Published: (2006)
Solving directly higher order ordinary differential equations by using variable order block backward differentiation formulae
by: Asnor, Asma Izzati, et al.
Published: (2019)
by: Asnor, Asma Izzati, et al.
Published: (2019)
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)
Partitioning ordinary differential equations using multistep formulas.
by: Suleiman, Mohamed, et al.
Published: (2008)
by: Suleiman, Mohamed, et al.
Published: (2008)
Derivation of BBDF-α for solving ordinary differential equation
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2015)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2015)
Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)
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)
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2014)
by: Zainuddin, Nooraini, et al.
Published: (2014)
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)
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)
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)
A class of hybrid multistep block methods with a–stability for the numerical solution of stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2020)
by: Ibrahim, Zarina Bibi, et al.
Published: (2020)
Formulation of a new implicit method for group implicit BBDF in solving related stiff ordinary differential equations
by: Abd Rasid, Norshakila, et al.
Published: (2021)
by: Abd Rasid, Norshakila, et al.
Published: (2021)
Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations
by: Mahayadin, Mahfuzah, et al.
Published: (2016)
by: Mahayadin, Mahfuzah, et al.
Published: (2016)
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)
by: Mohd Zawawi, Iskandar Shah
Published: (2014)
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)
Similar Items
-
A numerical algorithm for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013) -
Solving stiff ordinary differential equations using extended block backward differentiation formulae.
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013) -
Fixed Coefficients Block Backward Differentiation Formulas for the Numerical Solution of Stiff Ordinary Differential Equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2008) -
A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
by: Yatim, S. A. M., et al.
Published: (2012) -
Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations
by: Othman, Khairil Iskandar, et al.
Published: (2012)