Numerical treatment of oscillatory functional differential equations |
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Authors: | Neville J. Ford Yubin Yan |
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Affiliation: | Department of Mathematics, University of Chester, CH1 4BJ, United Kingdom |
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Abstract: | In this paper we are 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 ?-methods will also be oscillatory. We conclude with some general theory. |
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Keywords: | 34K11 39A12 65Q05 |
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