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

[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.

[发布日期] 2006-12-15

[关键词] partial Volterra integro-differential equation;unbounded spatial domain;artificial boundary conditions;numerical solution