Spectral and pseudospectral schemes for the distributed order time fractional reaction-diffusion equation with Neumann boundary conditions

被引：0

作者：

Liu, Haiyu ^{[1
,2
]}

Lu, Shujuan ^{[1
,2
]}

Chen, Wenping ^{[1
,2
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

[2] Beihang Univ, LMIB, Beijing 100191, Peoples R China

来源：

2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2017年

关键词：

distributed order diffusion equation; Neumann boundary conditions; GLLB pseudospectral method; stability and convergence; APPROXIMATIONS; 2ND-ORDER;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, two efficient numerical algorithms for the distributed order time fractional reaction-diffusion equation with Neumann boundary conditions are proposed, combining the finite difference method in time with Legendre spectral and Gauss-Lobatto-Legendre-Birkhoff (GLLB) pseudospectral method in space, respectively. It is proved that both of the schemes are unconditionally stable and have the same convergent order O(tau(2) +Delta alpha(2) + N1-m), where and tau, Delta alpha, N, and m are the temporal step, step size in distributed-order variable, polynomial degree and spatial regularity of the exact solution. Numerical results are presented to support the theoretical analysis.

引用

页码：3670 / 3675

页数：6

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