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Journal of Applied Mathematics
Volume 2014, Article ID 649468, 8 pages
Research Article

Discontinuous Mixed Covolume Methods for Linear Parabolic Integrodifferential Problems

School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China

Received 4 April 2014; Accepted 17 June 2014; Published 15 July 2014

Academic Editor: Wolfgang Schmidt

Copyright © 2014 Ailing Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The semidiscrete and fully discrete discontinuous mixed covolume schemes for the linear parabolic integrodifferential problems on triangular meshes are proposed. The error analysis of the semidiscrete and fully discrete discontinuous mixed covolume scheme is presented and the optimal order error estimate in discontinuous and first-order error estimate in are obtained with the lowest order Raviart-Thomas mixed element space.