文献类型：期刊文献

英文题名：Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation

作者：Ren, Jincheng[1];Sun, Zhi-Zhong[2]

通讯作者：Sun, ZZ[1]

机构：[1]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450000, Peoples R China;[2]Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China.

年份：2015

卷号：5

期号：1

起止页码：1-28

外文期刊名：EAST ASIAN JOURNAL ON APPLIED MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84961841613);WOS:【SCI-EXPANDED(收录号:WOS:000364199400001)】；

基金：This research is supported by the National Natural Science Foundation of China (Grant No. 11271068), the Major Research plan of the Henan University of Economics and Law in 2014, the Foundation of Henan Educational Committee (Grant No. 13B110190), and the Natural Science Foundation of Henan Province (Grant No. 142300410115). The authors would also like to thank the editor and referees for their valuable comments and suggestions.

语种：英文

外文关键词：Multi-term time fractional diffusion-wave equation; compact difference scheme; discrete energy method; convergence

摘要：Some efficient numerical schemes are proposed to solve one-dimensional and two-dimensional multi-term time fractional diffusion-wave equation, by combining the compact difference approach for the spatial discretisation and an L1 approximation for the multi-term time Caputo fractional derivatives. The unconditional stability and global convergence of these schemes are proved rigorously, and several applications testify to their efficiency and confirm the orders of convergence.