| 金承日,刘明珠.时滞抛物型方程的高精度精细积分法[J].计算力学学报,2011,28(2):183~186 |
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| 时滞抛物型方程的高精度精细积分法 |
| A precise integration method with high accuracy for delay parabolic equation |
| 投稿时间：2009-08-07 修订日期：2009-12-09 |
| DOI：10.7511/jslx201102005 |
| 中文关键词: 时滞抛物型方程 精细积分法 局部截断误差 |
| 英文关键词:delay parabolic equation precise time-integration method local truncation error |
| 基金项目:国家自然科学基金(10671047);哈尔滨工业大学(威海)校研究基金(HIT(WH)200706)资助项目. |
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| 中文摘要: |
| 对一类时滞抛物型方程初边值问题,提出了关于空间步长是四阶精度的高精度无条件稳定的精细积分法。数值算例表明,本文提出的精细积分法具有很高的精度,因而是一种有效的数值方法。 |
| 英文摘要: |
| The precise time-integration method is proposed for solving delay parabolic equation with initial condition and boundary condition. The local truncation error of the method is O(Δx4). The method is unconditionally stable. Numerical example shows that the method has high accuracy. So the precise time-integration method is a practical method. |
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