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Fast predictor-corrector approach for the tempered fractional differential equations
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...
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Published in: | Numerical algorithms 2017-03, Vol.74 (3), p.717-754 |
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description | 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. |
doi_str_mv | 10.1007/s11075-016-0169-9 |
format | article |
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subjects | Algebra Algorithms Applied mathematics Approximation Calculus Computer Science Differential equations Fractional calculus Mathematical analysis Numeric Computing Numerical Analysis Ordinary differential equations Original Paper Predictor-corrector methods Theory of Computation |
title | Fast predictor-corrector approach for the tempered fractional differential equations |
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