A windowing waveform relaxation method for time-fractional differential equations

作者：Ding, Xiao-Li^*; Jiang, Yao-Lin

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 30(1-3): 139-150.

DOI：10.1016/j.cnsns.2015.06.017

• Time-fractional differential equations
• Waveform relaxation
• Windowing technique

This paper presents a new windowing waveform relaxation method for time-fractional differential equations. Unlike the classical case, the proposed windowing method uses the history part of the solution at each Second, it is the first time that a multi-domain finite difference scheme together with a windowing method has been used for the time-fractional differential equations, which makes the numerical scheme very efficient. Third, the paper provides an effective estimation on window length. Numerical results are given to further illustrate the theoretical analysis.

• 出版日期2016-1
• 单位西安工程大学