On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations

Joint Authors

Bahaj, Mohamed
Rachid, Anas

Source

Journal of Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-08-06

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

Finite volume element schemes for non-self-adjoint parabolic integrodifferential equations are derived and stated.

For the spatially discrete scheme, optimal-order error estimates in L2, H1, and Lp, W1,p norms for 2≤p<∞, are obtained.

In this paper, we also study the lumped mass modification.

Based on the Crank-Nicolson method, a time discretization scheme is discussed and related error estimates are derived.

American Psychological Association (APA)

Bahaj, Mohamed& Rachid, Anas. 2013. On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-473688

Modern Language Association (MLA)

Bahaj, Mohamed& Rachid, Anas. On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations. Journal of Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-473688

American Medical Association (AMA)

Bahaj, Mohamed& Rachid, Anas. On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-473688

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473688