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Article


Title

Extended continuous block backward differentiation formula for stiff systems

Authors

Year of publication

2015

Published in

Fasciculi Mathematici

Journal year: 2015 | Journal number: nr 55

Article type

scientific article

Publication language

english

Keywords
EN
  • extended continuous backward differentiation formula
  • block method Stiff systems
  • stability
Abstract

EN We present an Extended Continuous Block Backward Differentiation Formula (ECBBDF) of order k + 1 for the numerical solution of stiff ordinary differential equations. This is achieved by constructing an Extended Continuous Backward Differentiation formula (ECBDF) together with the additional methods from its first derivative and are combined to form a single block of methods that simultaneously provide the approximate solutions for the stiff Initial Value Problems (IVPs). The error constant and stability property of the (ECBBDF) is discussed. We use the specific cases k = 4 and k = 5 to illustrate the process. The performance of the method is demonstrated on some numerical examples to show the accuracy and efficiency advantages of the method.

Pages (from - to)

5 - 18

DOI

10.1515/fascmath-2015-0010

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Full text of article

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Access level to full text

public

Points of MNiSW / journal

10.0

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