Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation
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.
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|Item Type:||Journal Article|
|Keywords:||Nonlinear reaction–subdiffusion equation, Variable-order Riemann–Liouville partial derivative, Improved numerical approximation, Convergence and stability|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2012 Springer Science+Business Media, LLC|
|Copyright Statement:||The final publication is available at link.springer.com|
|Deposited On:||15 May 2013 22:26|
|Last Modified:||08 Jul 2014 09:23|
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