A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

作者：Zaky, Mahmoud A.^*

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37(3): 3525-3538.

DOI：10.1007/s40314-017-0530-1

• Spectral tau method
• Multi-term time-fractional diffusion equation
• Caputo fractional derivative
• Convergence analysis

In this study, a Legendre spectral tau method is revisited to handle the multi-term time-fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence analysis are carried out using some critical theorems. The applicability and accuracy of the solution method are demonstrated by a numerical example to verify the theoretical analysis.

• 出版日期2018-7