Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892078 | Computers & Mathematics with Applications | 2018 | 13 Pages |
Abstract
Fast numerical methods were previously developed for space-fractional PDEs on multidimensional rectangular domains, without resorting to lossy compression, but rather, via the exploration of the tensor-product form of the Toeplitz-like decompositions of the stiffness matrices. In this paper we develop a fast finite difference method for distributed-order space-fractional PDEs on a general convex domain in multiple space dimensions. The fast method has an optimal order storage requirement and almost linear computational complexity, without any lossy compression. Numerical experiments show the utility of the method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jinhong Jia, Hong Wang,