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Numerical Methods for Solving the Multi-Term Time-Fractional Wave-Diffusion Equations

机译:多项式时间分数维波动方程求解的数值方法

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摘要

In this paper, the multi-term time-fractional wave-diffusion equations are considered. The multiterm time fractional derivatives are de.ned 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 e.ective numerical methods are proposed for simulating the multi-term time-fractional wave-diffusion equations. The numerical results demonstrate the e.ectiveness of theoretical analysis. These methods and techniques can also be extended to other kinds of the multi-term fractional timespace models with fractional Laplacian.
机译:在本文中,考虑了多项式时间分数波扩散方程。多元时间分数导数是在Caputo意义上定义的,其阶数属于区间[0,1],[1,2),[0,2),[0,3),[2,3)和[2,4)。提出了一些计算有效的数值方法来模拟多项时间分数波扩散方程。数值结果证明了理论分析的有效性。这些方法和技术还可以扩展到具有分数Laplacian的其他种类的多项分数时空模型。

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