| 奇异核Volterra积分方程迭代配置解的超收敛性 |
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| 引用本文： | 林伟健 韩国强. 奇异核Volterra积分方程迭代配置解的超收敛性[J]. 华南理工大学学报(自然科学版), 1997, 0(3): 67-71 |
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| 作者姓名： | 林伟健 韩国强 |
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| 作者单位： | 华南理工大学计算机工程与科学系 |
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| 基金项目： | 国家自然科学基金,广东省自然科学基金 |
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| 摘 要： | 讨论一类奇异核Volterra积分方程样条配置法及迭代配置法，证明了适当选取配置参数及等级网格时，迭代配置解在节点处还具有超收敛性。
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| 关 键 词： | 奇异积分方程 伏特拉积分方程 迭代配置解 超收敛性 |
SUPERCONVERGENCE OF INTEGRATED COLLOCATIONSOLUTION TO VOLTERRA EQUATION WITHWEAKLY SINGULAR KERNEL |
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| Li. Weijian Han Guoqiang. SUPERCONVERGENCE OF INTEGRATED COLLOCATIONSOLUTION TO VOLTERRA EQUATION WITHWEAKLY SINGULAR KERNEL[J]. Journal of South China University of Technology(Natural Science Edition), 1997, 0(3): 67-71 |
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| Authors: | Li. Weijian Han Guoqiang |
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| Abstract: | This paper deals with spline collocation method and iterated collocation method to solve a class of Volterra integral equation with weakly singular kernel, showing that superconvergence of iterated collocation solution at knot points may be obtained by selecting appropriate collocation parameters and graded meshes. |
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| Keywords: | singular integra equation Volterra integral equation: iterated collocation solution superconvergence |
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