Name
Abstract | ||
|---|---|---|
We propose three time-splitting schemes for nonlinear time-fractional differential equations with smooth solutions, where the order of the fractional derivative is 0 < alpha < 1. While one of the schemes is of order a, the other two schemes are of order 1 + alpha and 2 - alpha and thus they can be combined to provide flexible numerical methods with convergence order no less than 3/2. We prove the convergence and stability of the proposed schemes. Numerical examples illustrate the flexibility and the efficiency of these time-splitting schemes and show that they work for multirate and stiff time-fractional differential systems effectively. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140996495 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
time-fractional derivatives,multirate systems,stiff systems | Convergence (routing),Differential equation,Mathematical optimization,Nonlinear system,Differential systems,Mathematical analysis,Fractional calculus,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
37 | 4 | 1064-8275 |
Citations | PageRank | References |
3 | 0.42 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wanrong Cao | 1 | 68 | 8.81 |
| Zhongqiang Zhang | 2 | 45 | 5.20 |
| George E. Karniadakis | 3 | 375 | 35.23 |