Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 16, Issue 1, Pages 9-25Publisher
VERSITA
DOI: 10.2478/s13540-013-0002-2
Keywords
multi-term time fractional wave-diffusion equations; Caputo derivative; a power law wave equation; finite difference method; fractional predictor-corrector method
Funding
- Australian Research Council [DP1094333]
- USA NSF [DMS-1025486, DMS-0803360]
- NIH [R01-EB012079]
- China NSF [11101344]
- Fujian NSF [2010J01011]
- Australian Research Council [DP1094333] Funding Source: Australian Research Council
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In this paper, the multi-term time-fractional wave-diffusion equations are considered. The multi-term 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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