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 - http://www.scopus.com/inward/record.url?scp=33747329897&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2005.09.021
DO - 10.1016/j.cam.2005.09.021
M3 - Article
AN - SCOPUS:33747329897
VL - 197
SP - 406
EP - 420
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -