Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519470 | Journal of Computational Physics | 2011 | 14 Pages |
Abstract
Combining order reduction approach and L1 discretization, a box-type scheme is presented for solving a class of fractional sub-diffusion equation with Neumann boundary conditions. A new inner product and corresponding norm with a Sobolev embedding inequality are introduced. A novel technique is applied in the proof of both stability and convergence. The global convergence order in maximum norm is O(τ2−α + h2). The accuracy and efficiency of the scheme are checked by two numerical tests.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Xuan Zhao, Zhi-zhong Sun,