Numerical solution of second order ODE directly by two point block backward differentiation formula
Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions...
| Main Authors: | Zainuddin, Nooraini, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Suleiman, Mohamed, Jamaludin, Noraini |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57594/ http://psasir.upm.edu.my/id/eprint/57594/1/Numerical%20solution%20of%20second%20order%20ODE%20directly%20by%20two%20point%20block%20backward%20differentiation%20formula.pdf |
Similar Items
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
Two-point block backward differentiation formula for solving higher order ordinary differential equations
by: Zainuddin, Nooraini
Published: (2011)
by: Zainuddin, Nooraini
Published: (2011)
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 implicit block multistep method for solution of first order ODEs.
by: Mehrkanoon, S., et al.
Published: (2012)
by: Mehrkanoon, S., 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)
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 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)
Solution of higher order ODEs using backward difference method.
by: Suleiman, Mohamed, et al.
Published: (2011)
by: Suleiman, Mohamed, 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)
Solution of higher order odes using backwards difference method
by: Sulaiman, Mohamed, et al.
Published: (2009)
by: Sulaiman, Mohamed, et al.
Published: (2009)
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)
Implicit two-point block method with third and fourth derivatives for solving general second order ODEs
by: Allogmany, Reem Ayed, et al.
Published: (2019)
by: Allogmany, Reem Ayed, et al.
Published: (2019)
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)
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)
A new formulae of variable step 3-point block BDF method for solving stiff ODEs
by: Abasi, Naghmeh, et al.
Published: (2014)
by: Abasi, Naghmeh, et al.
Published: (2014)
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)
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 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)
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)
Block backward differentiation formulas for solving first and second order fuzzy differential equations
by: Tiaw, Kah Fook
Published: (2016)
by: Tiaw, Kah Fook
Published: (2016)
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)
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)
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)
Similar Items
-
On the convergence of two point block backward differentiation formula for second order ODEs
by: Zainuddin, Nooraini, et al.
Published: (2016) -
Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Zarina Bibi, et al.
Published: (2017) -
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) -
Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations
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)