A second order finite difference-spectral method for space fractional diffusion equations

查看全文 作　　者：HUANG [1]JianFei;NIE [2]NingMing;TANG [1]YiFa

机构地区：[1]LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences;[2]Supercomputing Center,Computer Network Information Center,Chinese Academy of Sciences

出　　处：《Science China Mathematics》索引2014年第57卷第6期,共15页

基　　金：supported by National Center for Mathematics and Interdisciplinary Sciences,CAS;National Natural Science Foundation of China (Grant Nos. 60931002 and 91130019) 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,and the convergence order of the proposed method is proved to be O(τ2+Nα-m)in L2-norm,whereτ,N,αand 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. 关键词：分数阶扩散方程二阶有限差分法差分光谱法求解空间 GALERKIN方法时间步长分数阶导数误差估计

相关文献

参考文献（33）
引证文献（4）
耦合文献（0）

参考文献(33)

引证文献(4)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

A second order finite difference-spectral method for space fractional diffusion equations

参考文献(33)

引证文献(4)

用户提示