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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Analysis of some difference approximations for a singular perturbation problem without turning points


Authors: R. Bruce Kellogg and Alice Tsan
Journal: Math. Comp. 32 (1978), 1025-1039
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1978-0483484-9
MathSciNet review: 0483484
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Abstract: Some three point difference schemes are considered for a singular perturbation problem without turning points. Bounds for the discretization error are obtained which are uniformly valid for all h and $ \varepsilon > 0$. The degeneration of the order of the schemes at $ \varepsilon = 0$ is considered.


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DOI: https://doi.org/10.1090/S0025-5718-1978-0483484-9
Article copyright: © Copyright 1978 American Mathematical Society

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