一类具有时滞的微分代数系统解的数值算法实现 |
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引用本文: | 吐克孜·艾肯,阿布都热西提·阿布都外力. 一类具有时滞的微分代数系统解的数值算法实现[J]. 山西师范大学学报:自然科学版, 2013, 0(3): 11-16 |
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作者姓名: | 吐克孜·艾肯 阿布都热西提·阿布都外力 |
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作者单位: | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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基金项目: | 国家自然科学基金项目(10971024) |
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摘 要: | 本文主要针对一类具有离散时滞的微分代数系统进行研究.一方面将求解离散时滞微分系统的DDE23算法思想运用到所考虑的具有时滞的微分代数系统中,给出了求解该系统的Matlab程序代码;另一方面将该微分代数系统在一定条件下转换为具有离散时滞的微分系统,从而直接利用DDE23进行了求解,最后通过实例进行数值试验,试验结果表明这些数值算法对求解延迟微分代数系统是十分有效的.
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关 键 词: | 延迟微分代数方程 延迟微分方程 DDE23算法 |
Numerical Algorithm for a Class of Delay Differential-algebraic System |
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Affiliation: | Tukezi · Aiken, Abudurexiti·Abuduwaili (College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang, China) |
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Abstract: | In the paper, we focus on the differential algebraic equations systems with the discrete lag. Based on DDE23 algo- rithm, we develop the matlab code for the discrete time-delay differential systems. In addition, is the system considered converted to discrete delay differential systems under certain condition, which were solved using DDE23. A number of numerical examples are al- so presented for some practical problems. Numerical experiments show that these numerical algorithms are efficient. |
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Keywords: | delay differential algebraic equations delay differential equations DDE23 algorithm |
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