The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains

被引：14
|
作者：
Han, HD
Zhu, L [1 ]
Brunner, H
Ma, JT
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[3] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2005年 / 55卷 / 01期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
parabolic volterra integro-differential equations; unbounded spatial domain; artificial boundary conditions; numerical time-stepping;
D O I：
10.1016/j.apnum.2004.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the numerical approximation of solutions to parabolic partial Volterra integro-differential equations in unbounded (one-dimensional) spatial domains. The key to these methods is the derivation of fully transparent artificial boundary conditions for some feasible, prescribed computational domain. Two numerical examples illustrate the application and the effectiveness of the artificial boundary method. (c) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：83 / 99
页数：17
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