Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation

被引：3

作者：

Bradji, Abdallah ^{[1
]}

机构：

[1] Univ Badji Mokhtar Annaba, Dept Math, Annaba, Algeria

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-METHODS AND THEORETICAL ASPECTS, FVCA 8 | 2017年 / 199卷

关键词：

Time-fractional wave equation; Hybrid mimetic mixed method; Implicit scheme;

D O I：

10.1007/978-3-319-57397-7_32

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an implicit finite volume scheme for a linear time-fractional diffusion-wave equation using the discrete gradient introduced in Eymard et al. (IMA J Numer Anal 30: 1009-1043, 2010, [2]). A convergence order for the error between the gradient of the exact solution and the discrete gradient of the approximate solution is proved. This yields an L-infinity(L-2)-error estimate.

引用

页码：391 / 399

页数：9

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