| 一类带弱奇异核偏积分微分方程二阶差分空间半离散格式的全局稳定性 |
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| 引用本文： | 何宏青,徐大.一类带弱奇异核偏积分微分方程二阶差分空间半离散格式的全局稳定性[J].数学理论与应用,2007,27(1):96-99. |
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| 作者姓名： | 何宏青 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 长沙410081 |
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| 基金项目： | 国家自然科学基金资助（10271046）. |
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| 摘 要： | 本文给出了数值求解一类带弱奇异核偏积分微分方程的二阶差分空间半离散格式;借助于Laplace变换及Parseval等式,得到了全局稳定性的证明.
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| 关 键 词： | 偏积分微分方程 二阶差分格式 全局稳定性 Laplace变换 |
| 文章编号： | 24259717 |
| 修稿时间： | 12 15 2006 12:00AM |
The global stability of second order spacial semi-discrete difference scheme for a partial integro-differential equation with a weakly singular kernel |
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| He Hongqing ,Xu Da.The global stability of second order spacial semi-discrete difference scheme for a partial integro-differential equation with a weakly singular kernel[J].Mathematical Theory and Applications,2007,27(1):96-99. |
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| Authors: | He Hongqing Xu Da |
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| Institution: | College of Mathematics and Computer Science,Hunan Normal University,Changsha,410081 |
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| Abstract: | In this paper,the second order spacial semi-discrete difference method for a partial integro-differential equation with a weakly singular kernel is considered.In virtue of Laplace transorm and Parseval equation,the global stability is proved. |
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| Keywords: | partial integro-differential equation second order difference scheme global stability laplace transform |
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