Adaptive order of block backward differentiation formulas for stiff ODEs
In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computati...
| Main Authors: | Ibrahim, Zarina Bibi, Mohd Nasir, N. A. A., Othman, Khairil Iskandar, Zainuddin, Nooraini |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Institute of Mathematical Sciences
2017
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/60772/ http://psasir.upm.edu.my/id/eprint/60772/1/Adaptive%20order%20of%20block%20backward%20differentiation%20formulas%20for%20stiff%20ODEs.pdf |
Similar Items
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)
On the convergence of two point block backward differentiation formula for second order ODEs
by: Zainuddin, Nooraini, et al.
Published: (2016)
by: Zainuddin, Nooraini, et al.
Published: (2016)
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)
Numerical solution of second order ODE directly by two point block backward differentiation formula
by: Zainuddin, Nooraini, et al.
Published: (2015)
by: Zainuddin, Nooraini, et al.
Published: (2015)
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)
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 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 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)
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)
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)
Automatic intervalwise block partitioning using Adams type method and backward differentiation formula for solving ODEs
by: Othman, Khairil Iskandar, et al.
Published: (2007)
by: Othman, Khairil Iskandar, et al.
Published: (2007)
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)
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)
Stability of block backward differentiation formulas method
by: Mohd Nasir, Nor Ain Azeany, et al.
Published: (2014)
by: Mohd Nasir, Nor Ain Azeany, et al.
Published: (2014)
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)
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)
Convergence of the 2-Point block backward differentiation formulas.
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)
Stability region of 3-point block backward differentiation formula
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
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)
Convergence properties of pth order diagonally implicit block backward differentiation formulas
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2018)
by: Mohd Zawawi, Iskandar Shah, 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)
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)
Block backward differentiation formulas for solving second order fuzzy differential equations
by: Tiaw, Kah Fook, et al.
Published: (2017)
by: Tiaw, Kah Fook, et al.
Published: (2017)
Two-point block backward differentiation formula for solving higher order ordinary differential equations
by: Zainuddin, Nooraini
Published: (2011)
by: Zainuddin, Nooraini
Published: (2011)
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)
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)
3-point block backward differentiation formulas for solving fuzzy differential equations
by: Ismail, Nurzeehan, et al.
Published: (2014)
by: Ismail, Nurzeehan, et al.
Published: (2014)
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)
An improved 2-point block backward differentiation formula for solving stiff initial value problems
by: Musa, Hamisu, et al.
Published: (2012)
by: Musa, Hamisu, et al.
Published: (2012)
Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2016)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2016)
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)
Direct block backward differentiation formulas for solving second order stiff boundary value problem
by: Chew, Soon Yuen
Published: (2016)
by: Chew, Soon Yuen
Published: (2016)
Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
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)
On the stability of diagonally implicit 2-point block backward differentiation formulae
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2013)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2013)
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)
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)
Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
by: Mohd Ijam, Hazizah
Published: (2020)
by: Mohd Ijam, Hazizah
Published: (2020)
Solution of higher order odes using backwards difference method
by: Sulaiman, Mohamed, et al.
Published: (2009)
by: Sulaiman, Mohamed, et al.
Published: (2009)
Similar Items
-
On the integration of stiff ODEs using block backward differentiation formulas of order six
by: Mohd Nasarudin, Amiratul Ashikin, et al.
Published: (2020) -
On the convergence of two point block backward differentiation formula for second order ODEs
by: Zainuddin, Nooraini, et al.
Published: (2016) -
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) -
Numerical solution of second order ODE directly by two point block backward differentiation formula
by: Zainuddin, Nooraini, et al.
Published: (2015) -
Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)