A multi-domain spectral method for time-fractional differential equations

@article{Chen2015AMS,
  title={A multi-domain spectral method for time-fractional differential equations},
  author={Feng Chen and Qinwu Xu and Jan S. Hesthaven},
  journal={J. Comput. Physics},
  year={2015},
  volume={293},
  pages={157-172}
}
This paper proposes an approach for high-order time integration within a multi-domain setting for timefractional differential equations. Since the kernel is singular or nearly singular, two main difficulties arise after the domain decomposition: how to properly account for the history/memory part and how to perform the integration accurately. To address these issues, we propose a novel hybrid approach for the numerical integration based on the combination of three-term-recurrence relations of… CONTINUE READING
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