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Numerical treatment of oscillary functional differential equations
Ford, Neville J. Yan, Yubin Malique, Md A.
Ford, Neville J.
Yan, Yubin
Malique, Md A.
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2010-09-01
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Abstract
This preprint is concerned with oscillatory functional differential equations (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linear v-methods will also be oscillatory. We conclude with some general theory
Citation
Journal of Computational and Applied Mathematics, 234(9), 2010, pp. 2757-2767
Publisher
Elsevier
Journal
Journal of Computational and Applied Mathematics
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Article
Language
en
Description
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of computational and applied mathematics, 234(2010), doi: 10.1016/j.cam.2010.01.035
Series/Report no.
ISSN
0377-0427
EISSN
1879-1778