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

被引：1

作者：

Bahaj, Mohamed ^{[1
]}

Rachid, Anas ^{[2
]}

机构：

[1] Hassan 1st Univ, Fac Sci & Technol, Dept Math & Comp Sci, Settat, Morocco

[2] Univ Hassan II Mohammedia Casablanca, Ecole Natl Suepr Darts & Metiers Casablanca, BP 150, Mohammadia, Morocco

来源：

JOURNAL OF MATHEMATICS | 2013年 / 2013卷

关键词：

D O I：

10.1155/2013/464893

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 L-2, H-1, and L-p,L- W-1,W-p norms for 2 <= p < infinity, 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.

引用

页数：13