论文题目:A second order finite difference-spectral method for space fractional diffusion equation
作 者:Jianfei Huang, Ningming Nie, Yifa Tanga
论文摘要: A high order finite difference-spectral method is derived for solving space fractional diffusion equations,by combining the second order finite difference method in time and the spectral Galerkin method in space. The stability and error estimates of the temporal semidiscrete scheme are rigorously discussed. Then the convergence order of this proposed method is proved to be O(2 +N −m) in L2-norm, where , N, and m are the time step size, polynomial degree,fractional derivative index and regularity of the exact solution respectively. Numerical experiments are carried out to demonstrate the theoretical analysis.
所属实验室或研究中心:科学与工程计算国家重点实验室
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