4 papers
Construction of high-order robust theta-methods with applications in anomalous models
Baoli Yin, Guoyu Zhang, Yang Liu +1
A general conversion strategy by involving a shifted parameter is proposed to construct high-order accuracy difference formulas for fractional calculus operators. By converting…
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
Baoli Yin, Yang Liu, Hong Li +1
This article devotes to developing robust but simple correction techniques and efficient algorithms for a class of second-order time stepping methods, namely the shifted fractional…
Finite element methods based on two families of second-order numerical formulas for the fractional Cable model with smooth solutions
Baoli Yin, Yang Liu, Hong Li +1
We apply two families of novel fractional -methods, the FBT- and FBN- methods developed by the authors in previous work, to the fractional Cable model, in which the time d…
The unified theory of shifted convolution quadrature for fractional calculus
Yang Liu, Baoli Yin, Hong Li +1
The convolution quadrature theory is a systematic approach to analyse the approximation of the Riemann-Liouville fractional operator at node . In this paper, we develo…