Journal
NUMERICAL ALGORITHMS
Volume 74, Issue 3, Pages 717-754Publisher
SPRINGER
DOI: 10.1007/s11075-016-0169-9
Keywords
Tempered fractional ordinary differential equation; Fast predictor-corrector approach; Short memory principle; Equidistributing meshes
Categories
Funding
- NNSFC [11271173, 11471150]
- FRF [CU 31920150039]
- HSSYP [ME 13YJCZH029]
Ask authors/readers for more resources
The tempered evolution equation describes the trapped dynamics, widely appearing in nature, e.g., the motion of living particles in viscous liquid. This paper proposes the fast predictor-corrector approach for the tempered fractional ordinary differential equations by digging out the potential 'very' short memory principle. Algorithms based on the idea of equidistributing are detailedly described. Error estimates for the proposed schemes are derived; and the effectiveness and low computation cost, being linearly increasing with time t, are numerically demonstrated.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available