91 citations
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math.NA2015★ 91 cited
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…
math.NA2015
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…