吴忠怀,余新良.类带弱奇异核的偏积分微分方程空间半离散的稳定性[J].南华大学学报(自然科学版),2009,23(1):66~68.[WU Zhong-huai1,2,YU Xin-liang2.Stability of Spatial Half Discretization for a Partial Integro-Differential Equation With a Weakly Singular Kernel[J].Journal of University of South China(Science and Technology),2009,23(1):66~68.] |
类带弱奇异核的偏积分微分方程空间半离散的稳定性 |
Stability of Spatial Half Discretization for a Partial Integro-Differential Equation With a Weakly Singular Kernel |
投稿时间:2008-11-22 |
DOI: |
中文关键词: 偏积分微分方程 谱配置方法 稳定性 |
英文关键词:partial integro-differential equation spectral collection methods stability |
基金项目:国家自然科学基金资助项目(10271046) |
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中文摘要: |
给出了一类带弱奇异核的偏积分微分方程的关于时间连续的Legendre-Galerkin谱空间半离散格式及稳定性的证明,其误差界比较好. |
英文摘要: |
In this paper,given the stability of the spatial Legendre-Galerkin's semi-discrimination for a partial integro-differential equation which is continuous in the direction of t. |
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