期刊
APPLIED MATHEMATICAL MODELLING
卷 40, 期 11-12, 页码 6069-6081出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.01.043
关键词
Generalized time fractional Burgers equation; Finite difference method; Stability; Convergence
资金
- NSFC [11201161, 11571128]
This paper is concerned with the numerical solutions of the generalized time fractional burgers equation. We propose a linear implicit finite difference scheme for solving the equation. Iterative methods become dispensable. As a result, the computational cost can be significantly reduced compare to the usual implicit finite difference schemes. Meanwhile, the finite difference method is proved to be unconditional globally stable and convergent. Numerical examples are shown to demonstrate the accuracy and stability of the method. (C) 2016 Elsevier Inc. All rights reserved.
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