Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419872 | Applied Mathematics and Computation | 2016 | 14 Pages |
Abstract
In this paper, exploiting the quadratic spline collocation (QSC) method, we numerically solve the time fractional subdiffusion equation with Dirichelt boundary value conditions. The coefficient matrix of the discretized linear system is investigated in detail. Theoretical analyses and numerical examples demonstrate the proposed technique can enjoy the global error bound with O(Ï3+h3) under the Lâ norm provided that the solution v(x, t) has four-order continual derivative with respects to x and t, and it can achieve the accuracy of O(Ï4+h4) at collocation points, where Ï, h are the step sizes in time and space, respectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wei-Hua Luo, Ting-Zhu Huang, Guo-Cheng Wu, Xian-Ming Gu,