A new formulae of variable step 3-point block BDF method for solving stiff ODEs
This paper derives a new variable step 3-point block method based on Backward Differentiation Formula (BDF) for solving stiff Ordinary Differential Equations (ODEs). The strategy involved in the developed method is to control the step size at each iteration to optimize the precision and produce thre...
| Main Authors: | Abasi, Naghmeh, Suleiman, Mohamed, Ismail, Fudziah, Ibrahim, Zarina Bibi, Musa, Hamisu, Abbasi, Neda |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Scientific Advances Publishers
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/36199/ http://psasir.upm.edu.my/id/eprint/36199/1/A%20new%20formulae%20of%20variable%20step%203.pdf |
Similar Items
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)
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)
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)
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)
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)
A new variable step size block backward differentiation formula for solving stiff initial value problems
by: Suleiman, Mohamed, et al.
Published: (2013)
by: Suleiman, Mohamed, et al.
Published: (2013)
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)
Weighted block Runge-Kutta method for solving stiff ODEs
by: Aksah, Sauļ¬anim Jana, et al.
Published: (2016)
by: Aksah, Sauļ¬anim Jana, et al.
Published: (2016)
Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)
by: Abasi, Naghmeh
Published: (2014)
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)
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)
Solving DAEs using block method
by: Abasi, Naghmeh, et al.
Published: (2012)
by: Abasi, Naghmeh, et al.
Published: (2012)
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)
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)
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)
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)
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)
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 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)
New classes of block backward differentiation formula for solving stiff initial value problems
by: Musa, Hamisu
Published: (2013)
by: Musa, Hamisu
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 formula with off step points for solving stiff ordinary differential equations
by: Abd Rasid, Norshakila
Published: (2021)
by: Abd Rasid, Norshakila
Published: (2021)
Solving general fourth order ODEs directly using four point block method
by: Abdul Majid, Zanariah, et al.
Published: (2011)
by: Abdul Majid, Zanariah, 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)
Variable steps implicit block multistep method for solving first order ODEs
by: S., Mehrkanoon, et al.
Published: (2010)
by: S., Mehrkanoon, et al.
Published: (2010)
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)
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)
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)
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)
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)
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)
Developing parallel block method for solving higher order ODEs directly
by: Suleiman, Mohamed, et al.
Published: (2002)
by: Suleiman, Mohamed, et al.
Published: (2002)
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)
Enhancing accuracy and efficiency in stiff ode integration using variable step diagonal bbdf approaches
by: Ibrahim, Zarina Bibi, et al.
Published: (2024)
by: Ibrahim, Zarina Bibi, et al.
Published: (2024)
Five step block method for solving general second order ODEs directly
by: Abdul Majid, Zanariah, et al.
Published: (2012)
by: Abdul Majid, Zanariah, et al.
Published: (2012)
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)
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)
Application of the shooting method in 2-point block BDF for nonlinear boundary value problems
by: Soomro, Hira, et al.
Published: (2025)
by: Soomro, Hira, et al.
Published: (2025)
Extended two-point and three-point block backward differentiation formulas for solving first order stiff ordinary differential equations
by: Mohamad Noor, Nursyazwani
Published: (2018)
by: Mohamad Noor, Nursyazwani
Published: (2018)
Similar Items
-
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) -
Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations
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) -
Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Zarina Bibi, et al.
Published: (2017) -
A-stable 2-point block extended backward differentiation formula for solving stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2011)