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<p>A new block version of fractional generalized Adams method is built for the fractional ordinary differential equations. By representing the proposed method using a block matrix, a similar structure of this new method and the classical block boundary value methods is shown. The block version methods can inherit the convergence order and good stability of the classical fractional generalized Adams methods. In addition, it is illustrated that compared with the classical version methods, the block version methods do have a much smaller computational cost.</p>

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A new kind of block fractional generalized Adams method for solving fractional differential equations

  • 期刊论文

  • 发表日期：

    2025年4月14日

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  • Xingzhou Jiang,
  • Yang Xu,
  • Jingjun Zhao

摘要

A new block version of fractional generalized Adams method is built for the fractional ordinary differential equations. By representing the proposed method using a block matrix, a similar structure of this new method and the classical block boundary value methods is shown. The block version methods can inherit the convergence order and good stability of the classical fractional generalized Adams methods. In addition, it is illustrated that compared with the classical version methods, the block version methods do have a much smaller computational cost.