The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

R. I. Okuonghae; M. N. O. Ikhile

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

  • Volume: 51, Issue: 1, page 51-77
  • ISSN: 0231-9721

Abstract

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This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A ( α ) -stable for step length k ≤ 7 .

How to cite

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Okuonghae, R. I., and Ikhile, M. N. O.. "The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.1 (2012): 51-77. <http://eudml.org/doc/246147>.

@article{Okuonghae2012,
abstract = {This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$.},
author = {Okuonghae, R. I., Ikhile, M. N. O.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {second derivative BDF; collocation and interpolation; initial value problem; stiff stability; boundary locus; second derivative BDF; collocation; interpolation; initial value problem; stiff stability; boundary locus; numerical examples; multistep method; backward differentiation formulas (BDF)},
language = {eng},
number = {1},
pages = {51-77},
publisher = {Palacký University Olomouc},
title = {The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF},
url = {http://eudml.org/doc/246147},
volume = {51},
year = {2012},
}

TY - JOUR
AU - Okuonghae, R. I.
AU - Ikhile, M. N. O.
TI - The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2012
PB - Palacký University Olomouc
VL - 51
IS - 1
SP - 51
EP - 77
AB - This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$.
LA - eng
KW - second derivative BDF; collocation and interpolation; initial value problem; stiff stability; boundary locus; second derivative BDF; collocation; interpolation; initial value problem; stiff stability; boundary locus; numerical examples; multistep method; backward differentiation formulas (BDF)
UR - http://eudml.org/doc/246147
ER -

References

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