The Finite Difference Methods for Fractional Ordinary Differential Equations
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- 11 January 2013
- journal article
- research article
- Published by Taylor & Francis Ltd in Numerical Functional Analysis and Optimization
- Vol. 34 (2), 149-179
- https://doi.org/10.1080/01630563.2012.706673
Abstract
Fractional finite difference methods are useful to solve the fractional differential equations. The aim of this article is to prove the stability and convergence of the fractional Euler method, the fractional Adams method and the high order methods based on the convolution formula by using the generalized discrete Gronwall inequality. Numerical experiments are also presented, which verify the theoretical analysis.Keywords
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