| 一类偏积分微分方程一阶差分全离散格式 |
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| 引用本文： | 刘艳,徐大. 一类偏积分微分方程一阶差分全离散格式[J]. 数学理论与应用, 2008, 28(2): 94-98 |
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| 作者姓名： | 刘艳 徐大 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院，湖南师范大学数学与计算机科学学院 长沙，410081，长沙，410081 |
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| 摘 要： | 本文给出了数值求解一类偏积分微分方程的一阶差分全离散格式。时间方向采用了一阶向后差分格式，空间方向采用二阶差分格式，给出了稳定性的证明，误差估计及收敛性的结果，并给出了数值例子。
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| 关 键 词： | 偏积分微分方程 分数次计算 差分格式 一阶全离散 |
A first order fully discrete difference scheme for a partial integro-differential equation |
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| Liu Yan Xu Da. A first order fully discrete difference scheme for a partial integro-differential equation[J]. Mathematical Theory and Applications, 2008, 28(2): 94-98 |
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| Authors: | Liu Yan Xu Da |
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| Affiliation: | (College of Mathematics and Computer Science, Hunan Normal University, Changsha,410081 ) |
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| Abstract: | In this paper,the first order fully discrete difference method for a partial integrodifferential equation is considered.First order backward difference scheme is employed in time;Second order difference scheme is employed in space;The stability,error estimate is given;Numerical experiments are reported. |
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| Keywords: | partial integro-differential equation fractional calculus finite difference scheme first order fully discrete |
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