A Fast Fractional Block-Centered Finite Difference Method for Two-Sided Space-Fractional Diffusion Equations on General Nonuniform Grids: Overcoming Computational Challenges with Sum-of-Exponentials Approximation

This paper proposes a novel fast fractional block-centered finite difference method to efficiently and accurately solve two-sided space-fractional diffusion equations on general nonuniform grids, addressing the computational bottleneck of traditional methods by employing a sum-of-exponentials approximation technique for fast matrix-vector multiplications.