| 线性多步法关于延迟积分微分方程的散逸性 |
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| 引用本文： | 祁锐,何汉林,张玉洁.线性多步法关于延迟积分微分方程的散逸性[J].河南科技大学学报(自然科学版),2011,32(2):79-82,112. |
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| 作者姓名： | 祁锐 何汉林 张玉洁 |
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| 作者单位： | 1. 海军工程大学理学院,湖北武汉,430033
2. 中国地质大学数理学院,湖北武汉,430074 |
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| 基金项目： | 国家自然科学基金项目(60974136); 海军工程大学自然科学青年基金项目(HGDQNJJ10003) |
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| 摘 要： | 考虑了延迟积分微分方程数值方法的散逸性,把一类线性多步法应用到以上问题中,当积分项用复合求积公式逼近时,得到了该数值方法的散逸性结果,最后,数值实验证明了所得理论结果的正确性。
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| 关 键 词： | 延迟积分微分方程 线性多步法 散逸性 复合求积公式 |
Dissipativity of Linear Multistep Methods for Delay-integro-differential Equations |
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| QI Rui,HE Han-Lin,ZHANG Yu-Jie.Dissipativity of Linear Multistep Methods for Delay-integro-differential Equations[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(2):79-82,112. |
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| Authors: | QI Rui HE Han-Lin ZHANG Yu-Jie |
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| Institution: | QI Rui1,HE Han-Lin1,ZHANG Yu-Jie2 (1.School of Science,Naval University of Engineering,Wuhan 430033,China,2.School of Mathematics & Physics,China University of Geosciences,Wuhan 430074,China) |
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| Abstract: | This paper is concerned with numerical dissipativity of delay integro-differential equations.When the integration term is approximated by the compound quadrature formula,the dissipativity results are obtained by a class of linear multistep methods.Finally,numerical example is given to confirm the theoretical results. |
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| Keywords: | Delay-integro-differential equations Linear multistep methods Dissipativity Compound quadrature formula |
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