Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian
نویسندگان
چکیده
In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian (−Δ)s with s∈(0,1) in two dimensions. We theoretically prove and numerically verify numerical stability convergence rate no worse than O(hk+12) k≥1.
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ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2021
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2021.11.007