Block backward differentiation formulas with automatic order selection for solving ordinary differential equations

QR Code

Block backward differentiation formulas with automatic order selection for solving ordinary differential equations

In this paper, a class of Block Backward Differentiation Formulas (BBDFs) are developed using fixed step size with automatic order selection for the numerical solution of stiff ordinary differential equations (ODEs). The method is derived by combining the BBDF methods of order four, five and six as...

Full description

Bibliographic Details
Main Authors:	Ibrahim, Zarina Bibi, M. Nasir, N. A. A., Othman, Khairil Iskandar, Suleiman, Mohamed
Format:	Conference or Workshop Item
Language:	English
Published:	2014
Online Access:	http://psasir.upm.edu.my/id/eprint/33583/ http://psasir.upm.edu.my/id/eprint/33583/1/33583.pdf

Similar Items

Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, et al.
Published: (2008)

Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)

Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)

Parallel block backward differentiation formulas for solving large systems of ordinary differential equations.
by: Ibrahim, Zarina Bibi, et al.
Published: (2010)

Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2014)

Solving stiff ordinary differential equations using extended block backward differentiation formulae.
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)

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)

Diagonally implicit block backward differentiation formulas for solving ordinary differential equations
by: Mohd Zawawi, Iskandar Shah, 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)

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)

Solving directly higher order ordinary differential equations by using variable order block backward differentiation formulae
by: Asnor, Asma Izzati, et al.
Published: (2019)

3-point block backward differentiation formulas for solving fuzzy differential equations
by: Ismail, Nurzeehan, et al.
Published: (2014)

Block backward differentiation formulas for solving second order fuzzy differential equations
by: Tiaw, Kah Fook, et al.
Published: (2017)

Block backward differentiation alpha-formulas for solving stiff ordinary differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2017)

Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)

Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)

Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2016)

Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)

Two-point block backward differentiation formula for solving higher order ordinary differential equations
by: Zainuddin, Nooraini
Published: (2011)

A new superclass of block backward differentiation formula for stiff ordinary differential equations
by: Suleiman, Mohamed, et al.
Published: (2014)

Fixed coeficient A(α) stable block backward differentiation formulas for stiff ordinary differential equations
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)

Formulation of modified variable step block backward differentiation formulae for solving stiff ordinary differential equations
by: Asnor, Asma Izzati, et al.
Published: (2017)

Variable step variable order block backward differentiation formulae for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor
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)

Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Zarina Bibi, et al.
Published: (2017)

Stability analysis of singly diagonally implicit block backward differentiation formulas for stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2019)

Variable order block method for solving second order ordinary differential equations
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)

Block backward differentiation formula with off-step points for solving first order stiff ordinary differential equations
by: Mohd Nasarudin, Amiratul Ashikin
Published: (2020)

Solving delay differential equations by using implicit 2-point block backward differentiation formula
by: Heng, S. C., et al.
Published: (2013)

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)

Stability of block backward differentiation formulas method
by: Mohd Nasir, Nor Ain Azeany, et al.
Published: (2014)

Diagonally implicit block backward differentiation formula with optimal stability properties for stiff ordinary differential equations
by: Mohd Ijam, Hazizah, et al.
Published: (2019)

A-stable 2-point block extended backward differentiation formula for solving stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2011)

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)

Convergence of the 2-Point block backward differentiation formulas.
by: Ibrahim, Zarina Bibi, et al.
Published: (2011)

Block backward differentiation formulas for solving first and second order fuzzy differential equations
by: Tiaw, Kah Fook
Published: (2016)

Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
by: Saufianim, Jana Aksah
Published: (2021)

Partitioning ordinary differential equations using multistep formulas.
by: Suleiman, Mohamed, et al.
Published: (2008)