| 时滞积分微分方程的Rosenbrock方法 |
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| 引用本文： | 覃婷婷,张诚坚. 时滞积分微分方程的Rosenbrock方法[J]. 应用数学, 2009, 22(4) |
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| 作者姓名： | 覃婷婷 张诚坚 |
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| 作者单位： | 华中科技大学数学与统计学院,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究时滞积分微分方程的数值方法.通过改造现有常及离散型延迟微分方程的数值方法,并匹配以适当数值求积公式,构造了求解时滞积分微分方程的Rosenbrock方法,导出了其稳定性准则.数值例子阐明了所获方法的计算有效性.
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| 关 键 词： | 时滞积分微分方程 Rosenbrock方法 稳定性 计算有效性 |
Rosenbrock Methods for Delay Integro-Differential Equations |
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| QIN Ting-ting,ZHANG Cheng-jian. Rosenbrock Methods for Delay Integro-Differential Equations[J]. Mathematica Applicata, 2009, 22(4) |
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| Authors: | QIN Ting-ting ZHANG Cheng-jian |
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| Abstract: | The numerical methods are studied for a class of delay integro-differential equations. By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived. The numerical examples illustrate the computational effectiveness of the obtained methods. |
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| Keywords: | Delay integro-differential equations Rosenbrock methods Stability Compu-tational effectiveness |
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