Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

Houde Han; Liang Zhu; Hermann BRUNNER; Jingtang Ma

doi:10.1016/j.cam.2005.09.021

Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

Houde Han
, Liang Zhu
, Hermann BRUNNER^*
, Jingtang Ma

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

17 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	406-420
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	197
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.09.021
Publication status	Published - 15 Dec 2006

User-Defined Keywords

Artificial boundary conditions
Numerical solution
Partial Volterra integro-differential equation
Unbounded spatial domain

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10.1016/j.cam.2005.09.021

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title = "Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains",

abstract = "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.",

keywords = "Artificial boundary conditions, Numerical solution, Partial Volterra integro-differential equation, Unbounded spatial domain",

author = "Houde Han and Liang Zhu and Hermann BRUNNER and Jingtang Ma",

note = "Funding Information: The work of H. Han is supported by the National Key Project of Foundation Research of China and National Natural Sciences Foundation of China (No. 10471073). The research of H. Brunner is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). This author also gratefully acknowledges the support and the hospitality by Tsinghua University (Beijing) and Professor Houde Han during a recent visit. ",

year = "2006",

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doi = "10.1016/j.cam.2005.09.021",

language = "English",

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TY - JOUR

T1 - Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

AU - Han, Houde

AU - Zhu, Liang

AU - BRUNNER, Hermann

AU - Ma, Jingtang

N1 - Funding Information: The work of H. Han is supported by the National Key Project of Foundation Research of China and National Natural Sciences Foundation of China (No. 10471073). The research of H. Brunner is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). This author also gratefully acknowledges the support and the hospitality by Tsinghua University (Beijing) and Professor Houde Han during a recent visit.

PY - 2006/12/15

Y1 - 2006/12/15

N2 - 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.

AB - 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.

KW - Artificial boundary conditions

KW - Numerical solution

KW - Partial Volterra integro-differential equation

KW - Unbounded spatial domain

UR - https://www.scopus.com/pages/publications/33747329897

U2 - 10.1016/j.cam.2005.09.021

DO - 10.1016/j.cam.2005.09.021

M3 - Journal article

AN - SCOPUS:33747329897

SN - 0377-0427

VL - 197

SP - 406

EP - 420

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

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