| 一类延迟积分微分方程单支方法的数值稳定性 |
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| 引用本文： | 邓义华.一类延迟积分微分方程单支方法的数值稳定性[J].安徽大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 邓义华 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 摘 要： | 延迟微分方程在很多领域有着广泛的应用,论文对一类非线性中立型延迟积分微分方程的数值稳定性进行了研究.对这类方程运用单支方法得到了一种数值方法,根据A-稳定等价于G-稳定的理论,获得了其稳定与渐近稳定的一个充分条件.
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| 关 键 词： | 中立型延迟积分微分方程 单支方法 数值稳定性 渐近稳定性 |
Numerical stability of one-leg methods for a kind of delay integro-differential equation |
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| DENG Yi-hua.Numerical stability of one-leg methods for a kind of delay integro-differential equation[J].Journal of Anhui University(Natural Sciences),2009,33(1). |
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| Authors: | DENG Yi-hua |
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| Institution: | Department of Mathematics;Hengyang Normal University;Hengyang 421008;China |
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| Abstract: | Delay differential equations have broad applications in many fields.This paper was concerned with numerical stability to a class of nonlinear neutral delay integro-differential equation.According to the theory that G-stability was equivalent to A-stability,a sufficient condition of stability and asymptotic stability for the numerical method obtained by using the one-leg methods to those equations was gained. |
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| Keywords: | nonlinear neutral delay integro-differential equations one-leg methods numerical stability asymptotic stability |
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