Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 48, Issue -, Pages 140-149Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2016.12.022
Keywords
Fractional subdiffusion equation; Variable order; Compact finite difference scheme; Stability and convergence
Categories
Funding
- National Natural Science Foundation of China [41674141]
- Key Program of Si Chuan Provincial Department of Education [16ZA0066]
- Young science and technology innovation team of swpu [2015CXTD07]
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In this paper, we consider a variable order time subdiffusion equation. A Crank-Nicolson type compact finite difference scheme with second order temporal accuracy and fourth order spatial accuracy is presented. The stability and convergence of the scheme are strictly proved by using the discrete energy method. Finally, some numerical examples are provided, the results confirm the theoretical analysis and demonstrate the effectiveness of the compact difference method.
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