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

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.

关键词： multi-term time fractional wave-diffusion equations Caputo derivative a power law wave equation finite difference method fractional predictor-corrector method.

作者: F. Liu M.M. Meerschaert R.J. McGough P. Zhuang Q. Liu

作者单位: Mathematical Sciences, Queensland University of Technology, GPOBox 2434, Brisbane, Qld. 4001, Austra Department of Statistics and Probability, Michigan State University,East Lansing, Michigan 48824, US Department of Electrical and Computer Engineering, MichiganState University, East Lansing, Michigan School of Mathematical Sciences, Xiamen University, Xiamen361005, China School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-7

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）