Name
Title | ||
|---|---|---|
Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. |
Abstract | ||
|---|---|---|
The aim of this paper is to develop a novel numerical techniques for the solution of the two-dimensional fractional sub-diffusion equation. The proposed technique is based on orthogonal spline collocation (OSC) method in space and a finite difference method (FDM) in time. Stability and convergence of the proposed method are rigorously discussed and theoretically proven. We present the results of numerical experiments in one and two space variables, which confirm the predicted convergence rates and exhibit optimal accuracy in various norms. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcp.2013.09.016 | J. Comput. Physics |
Keywords | Field | DocType |
space variable,numerical experiment,exhibit optimal accuracy,proposed technique,finite difference method,orthogonal spline collocation,novel numerical technique,convergence rate,orthogonal spline collocation method,two-dimensional fractional sub-diffusion equation,stability | Convergence (routing),Mathematical optimization,Mathematical analysis,Orthogonal collocation,M-spline,Spline collocation,Finite difference method,Mathematics,Diffusion equation | Journal |
Volume | Issue | ISSN |
256 | C | 0021-9991 |
Citations | PageRank | References |
19 | 0.85 | 21 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xuehua Yang | 1 | 45 | 5.38 |
| Haixiang Zhang | 2 | 64 | 12.19 |
| Da. Xu | 3 | 74 | 11.27 |