@Article{EAJAM-9-755, author = {Jia , Jinhong and Wang , Hong}, title = {A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {4}, pages = {755--779}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.271118.280319}, url = {http://global-sci.org/intro/article_detail/eajam/13331.html} }