Convergence of the 2-Point block backward differentiation formulas.
In this paper, the 2-point Block Backward Differentiation Formulas (BBDF) methods proposed by Zarina et al. [8] for the numerical solution of initial value problems in Ordinary Differential Equations (ODEs) are reviewed. The zero stability and consistency which are necessary conditions for convergen...
| Main Authors: | Ibrahim, Zarina Bibi, Suleiman , Mohamed, Othman, Khairil Iskandar, Mohd Nasir, Nor Ain Azeany |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Hikari Ltd
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/24910/ http://psasir.upm.edu.my/id/eprint/24910/1/Convergence%20of%20the%202.pdf |
Similar Items
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)
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)
Stability region of 3-point block backward differentiation formula
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
by: Mahayadin, Mahfuzah, et al.
Published: (2013)
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)
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)
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)
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 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)
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)
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)
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 delay differential equations by using implicit 2-point block backward differentiation formula
by: Heng, S. C., et al.
Published: (2013)
by: Heng, S. C., 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)
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)
Convergence properties of a 2-point using block of 4 backvalues backward differentiation formula
by: Zainal, Siti Zhafirah, et al.
Published: (2013)
by: Zainal, Siti Zhafirah, 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)
Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
by: Abasi, Naghmeh, et al.
Published: (2014)
by: Abasi, Naghmeh, et al.
Published: (2014)
Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Zarina Bibi, et al.
Published: (2017)
by: Ibrahim, Zarina Bibi, et al.
Published: (2017)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
A-stable 2-point block extended backward differentiation formula for solving stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2011)
by: Musa, Hamisu, et al.
Published: (2011)
An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems
by: Suleiman, Mohamed, et al.
Published: (2015)
by: Suleiman, Mohamed, et al.
Published: (2015)
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)
Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
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)
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)
Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells
by: Jana Aksah, Saufianim, et al.
Published: (2019)
by: Jana Aksah, Saufianim, et al.
Published: (2019)
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)
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)
Similar Items
-
Stability of block backward differentiation formulas method
by: Mohd Nasir, Nor Ain Azeany, et al.
Published: (2014) -
3-point block backward differentiation formulas for solving fuzzy differential equations
by: Ismail, Nurzeehan, et al.
Published: (2014) -
Stability region of 3-point block backward differentiation formula
by: Mahayadin, Mahfuzah, et al.
Published: (2013) -
On the stability of diagonally implicit 2-point block backward differentiation formulae
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2013) -
Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, et al.
Published: (2008)