Galerkin spectral method for the fractional nonlocal thermistor problem

被引：5

作者：

Sidi Ammi, Moulay Rchid ^{[1
]}

Torres, Delfim F. M. ^{[2
]}

机构：

[1] Moulay Ismail Univ, Fac Sci & Tech, Dept Math, AMNEA Grp, BP 509, Errachidia, Morocco

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 06期

关键词：

Fractional differential equations; Finite difference method; Galerkin spectral method; Stability; Error analysis; DIFFUSION;

D O I：

10.1016/j.camwa.2016.05.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1077 / 1086

页数：10

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