| 中立Volterra延迟积分微分方程的块θ-方法的稳定性 |
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| 引用本文： | 王麟.中立Volterra延迟积分微分方程的块θ-方法的稳定性[J].黑龙江科技学院学报,2013(2):204-209. |
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| 作者姓名： | 王麟 |
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| 作者单位： | 黑龙江科技学院理学院,哈尔滨150027 |
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| 摘 要： | 块θ-方法具有精度高、数值稳定性好等特点。采用该方法研究线性中立Volterra延迟积分微分方程解的稳定性,理论证明了中立Volterra延迟积分微分方程数值解保留精确解的稳定性,给出当θ∈（1/2,1]时其数值算例。仿真结果表明,该方法提高了数值解的稳定性和计算效率。
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| 关 键 词： | Volterra延迟积分微分方程 块θ-方法 稳定性 |
Stability of block P-method for linear neutral Volterra delay-integro-differential system |
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| WANG Lin.Stability of block P-method for linear neutral Volterra delay-integro-differential system[J].Journal of Heilongjiang Institute of Science and Technology,2013(2):204-209. |
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| Authors: | WANG Lin |
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| Institution: | WANG Lin (College of Sciences, Heilongjiang Institute of Science ＆ Technology, Harbin 150027, China) |
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| Abstract: | This paper is aimed at studying the stability of the block θ-method for neutral Volterra de- lay-integro-differential system. The study builds on the advantage that the block θ-method demonstrates a higher precision and better numerical stability, involves using the block θ-method to study the stability of neutral Volterra delay-integro-differential system, and features theoretical proof that numerical solutions preserves the delay independent stability of its exact solutions. The study produces the block θ-method, proved by a numerical example that when θ∈ （ 1/2,1 ], the block θ-method is capable of improving the numerical stability and computational efficiency. |
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| Keywords: | Voherra delay integro-differential equations block θ-method stability |
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