Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term


Autoria(s): Liu, F.; Yang, C.; Burrage, K.
Data(s)

2009

Resumo

In this paper, we consider a modified anomalous subdiffusion equation with a nonlinear source term for describing processes that become less anomalous as time progresses by the inclusion of a second fractional time derivative acting on the diffusion term. A new implicit difference method is constructed. The stability and convergence are discussed using a new energy method. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis

Formato

application/pdf

Identificador

http://eprints.qut.edu.au/29754/

Publicador

Elsevier

Relação

http://eprints.qut.edu.au/29754/1/c29754.pdf

DOI:10.1016/j.cam.2009.02.013

Liu, F., Yang, C., & Burrage, K. (2009) Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Journal of Computational and Applied Mathematics, 231(1), pp. 160-176.

Direitos

Copyright 2009 Elsevier

Fonte

Faculty of Science and Technology; Mathematical Sciences

Palavras-Chave #010200 APPLIED MATHEMATICS #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #Implicit difference method #Modified anomalous subdiffusion equation #Nonlinear source terms #Energy method #Stability and convergence
Tipo

Journal Article