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Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations
Published online by Cambridge University Press: 28 May 2015
Abstract
The block-by-block method, proposed by Linz for a kind of Volterra integral equations with nonsingular kernels, and extended by Kumar and Agrawal to a class of initial value problems of fractional differential equations (FDEs) with Caputo derivatives, is an efficient and stable scheme. We analytically prove and numerically verify that this method is convergent with order at least 3 for any fractional order index α > 0.
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- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 5 , Issue 2 , May 2012 , pp. 229 - 241
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- Copyright © Global Science Press Limited 2012