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带导数记忆项抛物型方程非光滑初始值连续时间离散
引用本文:王辅俊 徐大. 带导数记忆项抛物型方程非光滑初始值连续时间离散[J]. 华东师范大学学报(自然科学版), 1996, 0(2): 1-7
作者姓名:王辅俊 徐大
作者单位:[1]华东师范大学数学系 [2]湘潭师范学院
摘    要:
本文导出带偏导数抛物型积分微分方程离散近似的最优误差估计,特别讨论非光滑初值问题。

关 键 词:非光滑数值 误差估计 抛物型方程

Spatially Discrete Approximations of Parabolic Integro-differential Equation with a Derivative Memory and Nonsmooth Initial Data
Wang Fujun. Spatially Discrete Approximations of Parabolic Integro-differential Equation with a Derivative Memory and Nonsmooth Initial Data[J]. Journal of East China Normal University(Natural Science), 1996, 0(2): 1-7
Authors:Wang Fujun
Affiliation:Wang Fujun(Department of Mathematics. An st China Normal University. Shanghai 200062)Xu Da(Xiangtan Teachers College. Xiangtan 411201)
Abstract:
The optimal order error estimates are derived for spatially discrete approximations of parabolic integro-differential equation with a fractional derivative. Special attention is paid to the case of nonsmooth initial data.
Keywords:Integro-differential equation nonsmooth data semidiscrete Galerkin method error estimate
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