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一类偏积分微分方程二阶差分空间半离散格式的全局行为
Alternative TitleGlobal Behavior of Second Order Spatially Semi-discrete Difference Scheme for a Partial Integro-differential Equation
何宏青; 陈传淼; 徐大; 北京8701信箱
Department空间天气学国家重点实验室
Source Publication应用数学学报
2009
Volume32Issue:3Pages:514-524
ISSN0254-3079
Language中文
Keyword偏积分微分方程 Laplace变换 Parseval等式 有限差分格式 二阶空间半离散
Abstract偏积分微分方程产生于许多科学与工程领域,数值求解此类问题具有重要应用.本文给出了数值求解一类长时间偏积分微分方程的二阶差分空间半离散格式.借助于Laplace变换及Parseval等式,给出了全局稳定性的证明、误差估计及全局收敛性的结果.
Other AbstractPartial integro-differential equations arise from many scientific and engineering fields.Solving numerically these problems has important applications.In this paper,the second order spatially semi-discrete difference method for a partial integro-differential equation is considered.In virtue of Laplace transform and Parseval equation,the global stability, error estimate is given.
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/1272
Collection空间科学部
Corresponding Author北京8701信箱
Recommended Citation
GB/T 7714
何宏青,陈传淼,徐大,等. 一类偏积分微分方程二阶差分空间半离散格式的全局行为[J]. 应用数学学报,2009,32(3):514-524.
APA 何宏青,陈传淼,徐大,&北京8701信箱.(2009).一类偏积分微分方程二阶差分空间半离散格式的全局行为.应用数学学报,32(3),514-524.
MLA 何宏青,et al."一类偏积分微分方程二阶差分空间半离散格式的全局行为".应用数学学报 32.3(2009):514-524.
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