| Abstract: |
| Nonlinear fractional-order equations are effective models for many complex phenomena in science and engineering. In general, these systems are stiff or have rapid oscillatory behavior, Furthermore, their solutions could be singular at the initial time. In this talk, we introduce high-order multistep and predictor-corrector generalized exponential time differencing schemes combined with graded mesh to mitigate the singularity effect. Theoretical results and numerical experiments will be presented. |
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