6 citations · 7 across the 4 of their papers we have counts for
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Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms
Baoli Yin, Guoyu Zhang, Yang Liu +1
The convolution quadrature method originally developed for the Riemann-Liouville fractional calculus is extended in this work to the Hadamard fractional calculus by using the expon…
Sharp error analysis for averaging Crank-Nicolson schemes with corrections for subdiffusion with nonsmooth solutions
Baoli Yin, Yang Liu, Hong Li
Thanks to the singularity of the solution of linear subdiffusion problems, most time-stepping methods on uniform meshes can result in accuracy where denotes the time ste…
Finite Volume Element Methods for Two-Dimensional Time Fractional Reaction-Diffusion Equations on Triangular Grids
Zhichao Fang, Jie Zhao, Hong Li +1
In this paper, the time fractional reaction-diffusion equations with the Caputo fractional derivative are solved by using the classical -formula and the finite volume element (…
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…