Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation
| Data(s) |
2012
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|---|---|
| Resumo |
Anomalous subdiffusion equations have in recent years received much attention. In this paper, we consider a two-dimensional variable-order anomalous subdiffusion equation. Two numerical methods (the implicit and explicit methods) are developed to solve the equation. Their stability, convergence and solvability are investigated by the Fourier method. Moreover, the effectiveness of our theoretical analysis is demonstrated by some numerical examples. © 2011 American Mathematical Society. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
American Mathematical Society |
| Relação |
http://eprints.qut.edu.au/51510/1/Numercial_methods_for_solving.pdf http://www.ams.org/journals/mcom/2012-81-277/S0025-5718-2011-02447-6/ Chen, C. M., Liu, F., Anh, V., & Turner, I. (2012) Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Mathematics of Computation, 81(277), pp. 345-366. |
| Direitos |
Copyright 2012 American Mathematical Society |
| Fonte |
School of Chemistry, Physics & Mechanical Engineering; School of Mathematical Sciences; Science & Engineering Faculty |
| Palavras-Chave | #Anomalous subdiffusion equation #Explicit numerical method #Fractional derivative of variable order |
| Tipo |
Journal Article |
