Numerical methods for solving the multi-term time-fractional wave-diffusion equations
Liu, F., Meerschaert, M.M. , McGough, R.J. , Zhuang, P. , & Liu, Q. (2012) Numerical methods for solving the multi-term time-fractional wave-diffusion equations. In Chen, Wen, Sung, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.
In this paper, the multi-term time-fractional wave diffusion equations are considered. The multiterm time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals [0,1], [1,2), [0,2), [0,3), [2,3) and [2,4), respectively. Some computationally effective numerical methods are proposed for simulating the multi-term time-fractional wave-diffusion equations. The numerical results demonstrate the effectiveness of theoretical analysis. These methods and techniques can also be extended to other kinds of the multi-term fractional time-space models with fractional Laplacian.
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|Item Type:||Conference Paper|
|Keywords:||multi-term time fractional wave-diffusion equations, Caputo derivative, a power law wave equation, finite difference method, fractional predictor-corrector method|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000)|
|Divisions:||Current > Schools > School of Mathematical Sciences|
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2012 [please consult the author]|
|Deposited On:||06 Jul 2012 09:00|
|Last Modified:||13 Jun 2013 00:54|
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