Continuous block backward differentiation formula for solving stiff ordinary differential equations.
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Date
2013-04
Authors
Akinfenwa, O.A
Jator, S.N
Yao, N.M
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
In this paper, we consider an implicit Continuous Block Backward Differentiation formula
(CBBDF) for solving Ordinary Differential Equations (ODEs). A block of p new values at
each step which simultaneously provide the approximate solutions for the ODEs is derived,
where p is the number of points. A performance comparison of the continuous block
methods is made with existing methods. Numerical results indicate that the CBBDF is more
efficient in improving the number of integration steps with better accuracy.
Description
Scholarly Publication
Keywords
Stiff problems , Continuous block BDF , Ordinary differential equations , Collocation and interpolation , Stability
Citation
Akinfenwa,O.A, Jator,S.N,Yao, N.M (2013). Continuous block backward differentiation formula for solving stiff ordinary differential equations Computers & Mathematics with Applications 65 (7), 996-1005