| 带导数记忆项抛物型积分微分方程分数次欧拉时间离散 |
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| 引用本文： | 徐大. 带导数记忆项抛物型积分微分方程分数次欧拉时间离散[J]. 纯粹数学与应用数学, 1997, 13(1): 50-56 |
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| 作者姓名： | 徐大 |
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| 作者单位： | 湘潭师范学院数学系 |
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| 摘 要： | 我们研究一类带导数记忆项抛物型偏积分微分方程欧拉时间离散，记忆项通过Ｌｕｂｉｃｈ建议的分数次卷积求积逼近。使用谱表示技术导出最优阶误差估计。
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| 关 键 词： | 积分微分方程 时间离散 欧拉方法 数值解 抛物型 |
FRACTIONAL EULER TIME DISCRETIZATION OF AN INTEGRODIFFERENTIAL EQUATION OF PARABOLIC TYPE WITH A DERIVATIVE MEMORY TERM |
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| Xu Da. FRACTIONAL EULER TIME DISCRETIZATION OF AN INTEGRODIFFERENTIAL EQUATION OF PARABOLIC TYPE WITH A DERIVATIVE MEMORY TERM[J]. Pure and Applied Mathematics, 1997, 13(1): 50-56 |
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| Authors: | Xu Da |
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| Abstract: | The optimal order error estimates are derived for two time discretizations of an integrodifferential equation of parabolic type with a derivative memory term. The methods reduce to the fractional backward Euler. The integral term is approximated by two fractional convolution quadratures suggested by Lubich. |
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| Keywords: | integredifferential equation time discretization Euler methods optimal order error estimate |
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