Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model
| Contribuinte(s) |
Baleanu, Dumitru Tenreiro Machado, Jose A. |
|---|---|
| Data(s) |
2014
|
| Resumo |
A two-dimensional variable-order fractional nonlinear reaction-diffusion model is considered. A second-order spatial accurate semi-implicit alternating direction method for a two-dimensional variable-order fractional nonlinear reaction-diffusion model is proposed. Stability and convergence of the semi-implicit alternating direct method are established. Finally, some numerical examples are given to support our theoretical analysis. These numerical techniques can be used to simulate a two-dimensional variable order fractional FitzHugh-Nagumo model in a rectangular domain. This type of model can be used to describe how electrical currents flow through the heart, controlling its contractions, and are used to ascertain the effects of certain drugs designed to treat arrhythmia. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
IEEE |
| Relação |
http://eprints.qut.edu.au/84638/1/ICFDA%202014%20Fawang%20Liu%20Numerical%20Treatment%20of%20Two-Dimensional%20Variable-Order%20Fractional%20Nonlinear%20Reaction-Diffusion%20Model%20270515.pdf DOI:10.1109/ICFDA.2014.6967430 Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Anh, Vo, & Burrage, Kevin (2014) Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model. In Baleanu, Dumitru & Tenreiro Machado, Jose A. (Eds.) ICFDA 2014 International Conference on Fractional Differentiation and its Applications, IEEE, Catania, Sicily, Italy, pp. 1-6. |
| Direitos |
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| Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
| Palavras-Chave | #010000 MATHEMATICAL SCIENCES #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #Variable-order operator #Alternating direction method #Second-order spacial accuracy #Fractional nonlinear reaction-diffusion model #Stability and convergence |
| Tipo |
Conference Paper |
