| 一类带弱奇异核偏积分微分方程空间谱配置方法的全局性 |
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| 引用本文： | 唐杰,徐大,刘洁.一类带弱奇异核偏积分微分方程空间谱配置方法的全局性[J].系统科学与数学,2009,29(5):646-656. |
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| 作者姓名： | 唐杰 徐大 刘洁 |
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| 作者单位： | 1. 湖南师范大学数学与计算机科学学院,长沙,410081;湖南工业大学理学院,株洲,412008
2. 湖南师范大学数学与计算机科学学院,长沙,410081 |
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| 摘 要： | 借助拉普拉斯变换,运用谱配置方法研究一类线性偏积分微分方程的半离散问题,这类问题出现在粘弹性模型中.它是一种基于Gauss-Lobatto求积节点的配置方法.我们得到了空间半离散解的稳定性和收敛性结果.
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| 关 键 词： | 偏积分微分方程 弱奇异核 谱配置方法 拉普拉斯变换. |
| 收稿时间： | 2007-7-30 |
The Global Behavior of Spacial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel |
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| TANG Jie,XU Da,LIU Jie.The Global Behavior of Spacial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel[J].Journal of Systems Science and Mathematical Sciences,2009,29(5):646-656. |
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| Authors: | TANG Jie XU Da LIU Jie |
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| Institution: | (1)College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081;College of Science, Hunan University of Technology, Zhuzhou 412008 (2)College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081. |
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| Abstract: | The Laplace transform is introduced to analyze the method of spectral collocation,which is a collocation method at the Gauss-Lobatto quadrature points, for the semidiscretization of a class of linear partial integro-differential equations arising in viscoelasticity problems, for example. The stability and convergence of the space discretization are examined. |
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| Keywords: | Partial integro-differential equation weakly singular kernel spectral collocation methods Laplace transform |
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