An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions

作者：Chen, An; Li, Changpin^*

来源：Advances in Difference Equations, 2017, 2017(1): 356.

DOI：10.1186/s13662-017-1414-9

• ADI Galerkin method
• Caputo derivative
• unconditional stability
• convergence

In this paper, we propose an efficient alternating direction implicit (ADI) Galerkin method for solving the time-fractional partial differential equation with damping, where the fractional derivative is in the sense of Caputo with order in (1,2). The presented numerical scheme is based on the L2-1(sigma) method in time and the Galerkin finite element method in space. The unconditional stability and convergence of the numerical scheme are both carefully proved. Numerical results are displayed for supporting the theoretical analysis.

• 出版日期2017-11-9
• 单位上海大学; 桂林理工大学