期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 94, 期 2, 页码 405-426出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2015.1109642
关键词
fractional derivative; multi-term; Lubich's operator; difference scheme; compact; convergence; 35R11; 65M06; 65M12; 65M15
资金
- National Natural Science Foundation of China [11271068]
- Fundamental Research Funds for the Central Universities
- Research and Innovation Project for College Graduates of Jiangsu Province [KYLX_0081]
- Multifaceted Mathematics for Complex Energy Systems (M2ACS) project
- Collaboratory on Mathematics for Mesoscopic Modelling of Materials project
- NSF [DMS-1115887]
Based on the Lubich's high-order operators, a second-order temporal finite-difference method is considered for the fractional sub-diffusion equation. It has been proved that the finite-difference scheme is unconditionally stable and convergent in L-2 norm by the energy method in both one- and two-dimensional cases. The rate of convergence is order of two in temporal direction under the initial value satisfying some suitable conditions. Some numerical examples are given to confirm the theoretical results.
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