On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations
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 , , and , norms for are obtained. In this paper, we also study the lumped mass modification. Based on the Crank-Nic...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/464893 |
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| _version_ | 1849304970024714240 |
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| author | Mohamed Bahaj Anas Rachid |
| author_facet | Mohamed Bahaj Anas Rachid |
| author_sort | Mohamed Bahaj |
| collection | DOAJ |
| description | 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 , , and , norms for 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. |
| format | Article |
| id | doaj-art-3f9c150cd1f94c5088ba35bcb71badd0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3f9c150cd1f94c5088ba35bcb71badd02025-08-20T03:55:36ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/464893464893On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential EquationsMohamed Bahaj0Anas Rachid1Department of Mathematics and Computing Science, Faculty of Sciences and Technology, Hassan 1st University, BP 577 Settat, MoroccoÉcole Nationale Suéprieure d’Arts et Métiers-Casablanca, Université Hassan II Mohammedia-Casablanca, BP 150 Mohammedia, MoroccoFinite volume element schemes for non-self-adjoint parabolic integrodifferential equations are derived and stated. For the spatially discrete scheme, optimal-order error estimates in , , and , norms for 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.http://dx.doi.org/10.1155/2013/464893 |
| spellingShingle | Mohamed Bahaj Anas Rachid On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations Journal of Mathematics |
| title | On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations |
| title_full | On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations |
| title_fullStr | On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations |
| title_full_unstemmed | On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations |
| title_short | On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations |
| title_sort | on the finite volume element method for self adjoint parabolic integrodifferential equations |
| url | http://dx.doi.org/10.1155/2013/464893 |
| work_keys_str_mv | AT mohamedbahaj onthefinitevolumeelementmethodforselfadjointparabolicintegrodifferentialequations AT anasrachid onthefinitevolumeelementmethodforselfadjointparabolicintegrodifferentialequations |