TY - JOUR
T1 - A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
AU - Jia , Jinhong
AU - Wang , Hong
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 755
EP - 779
PY - 2019
DA - 2019/10
SN - 9
DO - http://doi.org/10.4208/eajam.271118.280319
UR - https://global-sci.org/intro/article_detail/eajam/13331.html
KW - Space-fractional diffusion equation, locally refined mesh, Toeplitz matrix, circulant
matrix, finite volume method.
AB - <p style="text-align: justify;">In this work, we consider a boundary value problem involving Caputo derivatives defined in the plane. We develop a fast locally refined finite volume method for
variable-coefficient conservative space-fractional diffusion equations in the plane to resolve boundary layers of the solutions. Numerical results are presented to show the
utility of the method.</p>