| 非标准有限差分法求解时滞抛物型方程 |
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| 引用本文： | 刘明鼎,陈贵清,张艳敏,董保珠.非标准有限差分法求解时滞抛物型方程[J].唐山学院学报,2013(6):5-6,35. |
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| 作者姓名： | 刘明鼎 陈贵清 张艳敏 董保珠 |
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| 作者单位： | [1]青岛理工大学琴岛学院基础部,山东青岛266106 [2]唐山学院基础教学部,河北唐山063000 |
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| 基金项目： | 国家自然科学基金（11271101） |
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| 摘 要： | 提出求解时滞抛物型方程的非标准有限差分法,其特点是在对微分方程中关于时间一阶导数项进行离散时,利用时间步长的函数φ（△t）代替分母△t,通过稳定性分析可以看出该格式是条件稳定的,数值算例表明该方法有很高的精度.
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| 关 键 词： | 时滞抛物型方程 非标准有限差分法 稳定性 |
Nonstandard Finite Difference Method for Delay Parabolic Equation |
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| LIU Ming-ding,CHEN Gui-qing,ZHANG Yan-min,DONG Bao-zhu.Nonstandard Finite Difference Method for Delay Parabolic Equation[J].Journal of Tangshan College,2013(6):5-6,35. |
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| Authors: | LIU Ming-ding CHEN Gui-qing ZHANG Yan-min DONG Bao-zhu |
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| Institution: | 1. Qindao College, Qingdao Technological University, Qingdao 266106, China; 2. Department of Basic Science, Tangshan College,Tangshan 063000, China) |
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| Abstract: | This paper proposes the nonstandard finite difference （NSFD） method to solve the de-lay parabolic equation which replaces the denominator △t by the time step function φ（△t） for a discrete time derivative in a differential equation. Stability analysis proves that the format is con-ditionally stable and numerical examples show that this method has high accuracy. |
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| Keywords: | delay parabolic equation nonstandard finite difference method stability |
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