Stability of Adams-type formulae for second-order ordinary differential equations

QR Code

Stability of Adams-type formulae for second-order ordinary differential equations

The stability of methods for systems of second-order equations is discussed. Stability regions are obtained for a single equation and the existence of stable step-sizes is shown for systems. An example is used as an illustration of the effect of the usual order selection strategies on stability and...

Full description

Bibliographic Details
Main Authors:	Hall, G., Suleiman, M.B.
Format:	Article
Language:	English
Published:	1981
Online Access:	http://psasir.upm.edu.my/id/eprint/116364/ http://psasir.upm.edu.my/id/eprint/116364/1/116364.pdf

Similar Items

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

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)

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

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

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

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)

Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, 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)

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 hybrid method for solving special second order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2016)

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

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

Third-order harmonic mean Runge-Kutta formulae for solving ordinary differential equations
by: Rokiah @ Rozita Ahmad,, et al.
Published: (2010)

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

Numerical solution for solving second order ordinary differential equations using block method
by: Mukhtar, Nur Zahidah, et al.
Published: (2011)

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

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

Solving second-order delay differential equations by direct Adams-Moulton method
by: Hoo, Yann Seong, et al.
Published: (2013)

Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2013)

Predictor-corrector scheme for solving second order ordinary differential equations
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2022)

Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
by: Mohd Ijam, Hazizah
Published: (2020)

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

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

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

Ninth order block hybrid collocation method for second order ordinary differential equations
by: Yap, Lee Ken, 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)

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

Convergence Proof of Some Generalised Backward Differentiation (GBDF) Methods to Solve the General Second Order Ordinary Differential Equations (ODE).
by: Suleiman, Mohamed
Published: (1984)

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

Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)

Second derivative multistep method for solving first-order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2016)

Explicit hybrid methods for solving special second order ordinary differential equations
by: Samat, Faieza
Published: (2012)

Fourth-order explicit hybrid method for solving special second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2012)

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

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

Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
by: Yap, Yee Ken, et al.
Published: (2008)

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