| 一类比例延迟Volterra积分微分方程的配置法 |
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| 引用本文： | 高景璐,李杰,王云峰.一类比例延迟Volterra积分微分方程的配置法[J].吉林大学学报(理学版),2012,50(6):1091-1097. |
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| 作者姓名： | 高景璐 李杰 王云峰 |
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| 作者单位： | 1. 吉林大学 数学学院, 长春 130012,2. 吉林大学 计算机科学与技术学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:J0730101;J1030101;11071102) |
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| 摘 要： | 研究数值求解一类比例延迟Volterra积分微分方程(DVIDE)的配置法. 讨论了配置法的收敛性和整体超收敛性, 并在一种弱假设条件下给出了配置法的局部超收敛性. 数值实验验证了理论结果的正确性.
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| 关 键 词： | 配置法 超收敛 比例延迟 Volterra积分微分方程 |
| 收稿时间： | 2012-05-17 |
Collocation Method for a Class of Volterra Integro-Differential Equations with Proportional Delays |
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| GAO Jing-lu,LI Jie,WANG Yun-feng.Collocation Method for a Class of Volterra Integro-Differential Equations with Proportional Delays[J].Journal of Jilin University: Sci Ed,2012,50(6):1091-1097. |
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| Authors: | GAO Jing-lu LI Jie WANG Yun-feng |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Computer Science and Technology, Jilin University, Changchun 130012, China |
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| Abstract: | We studied the collocation method for numerically solving a class of delay Volterra integro differential equations (DVIDEs). Uniform convergence and global superconvergence of the collocation method werediscussed, and local superconvergence on the collocation points was also presented under a weak assumption. Results of the numerical experiments demonstrate our theoretical analysis. |
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| Keywords: | collocation method superconvergence proportional delay Volterra integro differential equation |
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