Development of a-stable block method for the solution of stiff ordinary differential equations

QR Code

Development of a-stable block method for the solution of stiff ordinary differential equations

A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method...

Full description

Bibliographic Details
Main Authors:	Mohamad Noor, Nursyazwani, Ibrahim, Zarina Bibi
Format:	Article
Language:	English
Published:	Medwell Publications 2019
Online Access:	http://psasir.upm.edu.my/id/eprint/81149/ http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf

Similar Items

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)

Fixed Coefficients Block Backward Differentiation Formulas for the Numerical Solution of Stiff Ordinary Differential Equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2008)

A class of hybrid multistep block methods with a–stability for the numerical solution of stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2020)

Weighted block Runge-Kutta method for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

Variable step three-point block methods for solving stiff ordinary differential equations
by: Mahayadin, Mahfuzah, et al.
Published: (2013)

Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2016)

Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006)

Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations
by: Othman, Khairil Iskandar, et al.
Published: (2012)

New block Runge-Kutta method with various weights for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim, et al.
Published: (2015)

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

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

Numerical solver of A(alpha)-stable for stiff ordinary differential equations
by: Rahimah, Jusoh, et al.
Published: (2023)

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

Block method for third order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)

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)

Extended two-point and three-point block backward differentiation formulas for solving first order stiff ordinary differential equations
by: Mohamad Noor, Nursyazwani
Published: (2018)

Stability analysis of singly diagonally implicit block backward differentiation formulas for stiff ordinary differential equations
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)

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

A new fifth order implicit block method for solving first order stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2014)

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)

Solving stiff differential equations using A-stable block method
by: Mohd Zabidi, Muhammad Izzat Zakwan, et al.
Published: (2014)

A quantitative comparison of numerical method for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor, et al.
Published: (2011)

Weighted Block Runge-Kutta methods for solving stiff ordinary differential equations
by: Jana Aksah, Saufianim
Published: (2016)

A numerical algorithm for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)

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

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

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

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)

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

Formulation of a new implicit method for group implicit BBDF in solving related stiff ordinary differential equations
by: Abd Rasid, Norshakila, et al.
Published: (2021)

A fourth-order one-step block method for solving a stiff ordinary differential equation
by: Mohd Zabidi, Muhammad Izzat Zakwan, et al.
Published: (2016)

Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
by: Khoo, Kai Wen
Published: (2015)

Variable step variable order block backward differentiation formulae for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor
Published: (2013)

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

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)

Block backward differentiation formulas with automatic order selection for solving ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2014)

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