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Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations

  • Jianfei Huang (a1), Yifa Tang (a1) and Luis Vázquez (a2)
Abstract
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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Corresponding author
Corresponding author.Email address:jfhuang@lsec.cc.ac.cn
Corresponding author.Email address:tyf@lsec.cc.ac.cn
Corresponding author.Email address:lvazquez@fdi.ucm.es
References
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Numerical Mathematics: Theory, Methods and Applications
  • ISSN: 1004-8979
  • EISSN: 2079-7338
  • URL: /core/journals/numerical-mathematics-theory-methods-and-applications
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