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math.NA2022
On Generalisation of Isotropic Central Difference for Higher Order Approximation of Fractional Laplacian
Pui Ho Lam, Hing Cheung So
The study of generalising the central difference for integer order Laplacian to fractional order is discussed in this paper. Analysis shows that, in contrary to the conclusion of a…
math.NA2021
Arbitrary order of convergence for Riesz fractional derivative via central difference method
Pui Ho Lam, Hing Cheung So, Cheung Fat Chan
We propose a novel method to compute a finite difference stencil for Riesz derivative for artibitrary speed of convergence. This method is based on applying a pre-filter to the Grü…