A Fast O(N log N) Finite Difference Method for the One-Dimensional Space-Fractional Diffusion Equation

This paper proposes an approach for the space-fractional diffusion equation in one dimension. Since fractional differential operators are non-local, two main difficulties arise after discretization and solving using Gaussian elimination: how to handle the memory requirement of O(N2) for storing the...

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Bibliographic Details
Main Author: Treena Basu
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/3/4/1032