Numerical treatment of oscillary functional differential equations
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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 theoryCitation
Journal of Computational and Applied Mathematics, 234(9), 2010, pp. 2757-2767Publisher
ElsevierType
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enDescription
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.2010.01.035ISSN
0377-0427EISSN
1879-1778ae974a485f413a2113503eed53cd6c53
10.1016/j.cam.2010.01.035
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