A family of Adams exponential integrators for fractional linear systems
The numerical solution of linear time-invariant systems of fractional order is investigated. We construct a family of exponential integrators of Adams type possessing good convergence and stability properties. The methods are devised in order to keep at a suitable level, the computational effort necessary to solve problems of large size. Numerical experiments are provided to validate the theoretical results; the effectiveness of the proposed approach is tested and compared to some other classical methods. (C) 2013 Elsevier Ltd. All rights reserved.
exponential integrators fractional differential equations numerical methods adams methods mittag-leffler function