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Higher order schemes and Richardson extrapolation for singular perturbation problems

Published online by Cambridge University Press:  17 April 2009

Dragoslav Herceg ,
Relja Vulanović  and
Nenad Petrović
Dragoslav Herceg
Affiliation:
Institute of Mathematics, dr Ilije Djuričića 4, 21000 Novi Sad, Yugoslavia
Relja Vulanović
Affiliation:
Institute of Mathematics, dr Ilije Djuričića 4, 21000 Novi Sad, Yugoslavia
Nenad Petrović
Affiliation:
Advanced Technical School, Školska 1, 21000 Novi Sad, Yugoslavia
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Abstract

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Semilinear singular perturbation problems are solved numerically by using finite–difference schemes on non-equidistant meshes which are dense in the layers. The fourth order uniform accuracy of the Hermitian approximation is improved by the Richardson extrapolation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 1 , February 1989 , pp. 129 - 139
Copyright
Copyright © Australian Mathematical Society 1989

References

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