Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations

被引：18

作者：

Ahmadinia, M. ^{[1
]}

Safari, Z. ^{[1
]}

Fouladi, S. ^{[2
]}

机构：

[1] Univ Qom, Dept Math, Fac Sci, Isfahan Old Rd, Qom, Iran

[2] Univ Shahrekord, Dept Math, Shahrekord, Iran

来源：

BIT NUMERICAL MATHEMATICS | 2018年 / 58卷 / 03期

关键词：

Local discontinuous Galerkin method; Finite difference method; Fractional partial differential equations; Stability; Error estimates; FINITE-ELEMENT-METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-METHODS; APPROXIMATION; CONVERGENCE; SUBDIFFUSION; STABILITY; SUPERCONVERGENCE; SCHEMES; TERM;

D O I：

10.1007/s10543-018-0697-x

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper focuses on the time-space fractional convection-diffusion equations with time fractional derivative (of order a, 0 < a < 1) and space fractional derivative (of order ss, 1 < ss < 2). An approach based on a combination of local discontinuous Galerkin (in space) and finite difference methods (in time) is presented to solve the fractional convection-diffusion equations. The stability and convergence analysis of the method are given. Numerical results confirm the theory of the method for fractional convection-diffusion equations.

引用

页码：533 / 554

页数：22

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