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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.

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Abstract

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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ID Code: 51454
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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