| 一类积—微分方程有限元解的外推 |
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| 引用本文： | 胡齐芽. 一类积—微分方程有限元解的外推[J]. 湘潭大学自然科学学报, 1992, 14(2): 28-34 |
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| 作者姓名： | 胡齐芽 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 本文对一类积-微分方程推得了其有限元迭代解及其导数的多项渐近展式,从而可对其反复地进行外推,以求得其具有足够收敛阶的近似解。
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| 关 键 词： | 积－微分方程 迭代解 有限元 |
EXTRAPOLATION FOR THE GALERKIN APPROXIMATION TO THE SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS |
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| Hu Qiya. EXTRAPOLATION FOR THE GALERKIN APPROXIMATION TO THE SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS[J]. Natural Science Journal of Xiangtan University, 1992, 14(2): 28-34 |
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| Authors: | Hu Qiya |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,the asymptotic expansions with more termsfor the k-degree iterated Galerkin approximation solution along with itsderivatives of integro-differential equations are obtained,thus the ex-trapolation to it can be done repeatedly in order to get an approximationsolution which has enough high accuracy. |
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| Keywords: | integro-differential equations iterated solution asymp-totic expansions extrapolation estimate |
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