Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation
| Data(s) |
01/06/2013
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|---|---|
| Resumo |
Fractional reaction–subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction–subdiffusion equation. A numerical approximation method is proposed to solve the equation. Its convergence and stability are analyzed by Fourier analysis. By means of the technique for improving temporal accuracy, we also propose an improved numerical approximation. Finally, the effectiveness of the theoretical results is demonstrated by numerical examples. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
Springer |
| Relação |
http://eprints.qut.edu.au/60016/1/Liu28_NAMA2156R2_01_July_2012.pdf DOI:10.1007/s11075-012-9622-6 Chen, C.M., Liu, F., Turner, I., Anh, V., & Chen, Y. (2013) Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation. Numerical Algorithms, 63(2), pp. 265-290. |
| Direitos |
Copyright 2012 Springer Science+Business Media, LLC The final publication is available at link.springer.com |
| Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
| Palavras-Chave | #010301 Numerical Analysis #Nonlinear reaction–subdiffusion equation #Variable-order Riemann–Liouville partial derivative #Improved numerical approximation #Convergence and stability |
| Tipo |
Journal Article |
