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Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang
2006-12-15
发表期刊JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
卷号197期号:2页码:406-420
摘要In this paper we study the numerical solution of parabolic Volterra integro-differential equations on certain unbounded two-dimensional spatial domains. The method is based on the introduction of a feasible artificial boundary and the derivation of corresponding artificial (fully transparent) boundary conditions. Two examples illustrate the application and numerical performance of the method. (c) 2005 Elsevier B.V. All rights reserved.
关键词partial Volterra integro-differential equation unbounded spatial domain artificial boundary conditions numerical solution
DOI10.1016/j.cam.2005.09.021
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000241085400009
出版者ELSEVIER SCIENCE BV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/3088
专题中国科学院数学与系统科学研究院
通讯作者Brunner, Hermann
作者单位1.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
3.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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GB/T 7714
Han, Houde,Zhu, Liang,Brunner, Hermann,et al. Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,197(2):406-420.
APA Han, Houde,Zhu, Liang,Brunner, Hermann,&Ma, Jingtang.(2006).Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,197(2),406-420.
MLA Han, Houde,et al."Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 197.2(2006):406-420.
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