91 citations · 216 across the 6 of their papers we have counts for
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Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
Hengfei Ding, Changpin Li
It is well known that using high-order numerical algorithms to solve fractional differential equations leads to almost the same computational cost with low-order ones but the accur…
A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application
Hengfei Ding, Changpin Li
Compared to the the classical first-order Grünwald-Letnikov formula at time , we firstly propose a second-order numerical approximate scheme for disc…
High-order numerical algorithms for Riesz derivatives via constructing new generating functions
Hengfei Ding, Changpin Li
A class of high-order numerical algorithms for Riesz derivatives are established through constructing new generating functions. Such new high-order formulas can be regarded as the…
High-order fractional-compact finite difference method for Riesz spatial telegraph equation
Hengfei Ding, Changpin Li
In this paper, we establish even order compact numerical schemes (4th-order, 6th-order, 8th-order, 10th-order) for Riesz derivatives by using the symmetrical fractional centred dif…
High-order Numerical Methods for Riesz Space Fractional Turbulent Diffusion Equation
Hengfei Ding, Changpin Li
Numerical methods for fractional calculus attract increasing interests due to its wide applications in various fields such as physics, mechanics, etc. In this paper, we focus on co…
High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation
Hengfei Ding, Changpin Li
In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile deriva…