TY - JOUR
T1 - A linear finite difference scheme for generalized time fractional Burgers equation
AU - Li, Dongfang
AU - Zhang, Chengjian
AU - Ran, Maohua
PY - 2016/6
Y1 - 2016/6
N2 - 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.
AB - 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.
KW - Convergence
KW - Finite difference method
KW - Generalized time fractional Burgers equation
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=84965120472&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84965120472&origin=recordpage
U2 - 10.1016/j.apm.2016.01.043
DO - 10.1016/j.apm.2016.01.043
M3 - 21_Publication in refereed journal
VL - 40
SP - 6069
EP - 6081
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
SN - 0307-904X
IS - 11-12
ER -