论文标题

分数衍生物的新扩散表示,第二部分:数值方案的收敛分析

A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme

论文作者

Diethelm, Kai

论文摘要

最近,我们提出了一种针对分数衍生物的新扩散表示形式,并基于此表示,建议了其数值计算的算法。从算法的构建中,可以立即明显这种方法是快速且有效的。此外,该方法的设计是可以预期的良好收敛性。本文在这里启动了对这些收敛性能的系统研究。

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately evident that the method is fast and memory efficient. Moreover, the method's design is such that good convergence properties may be expected. This paper here starts a systematic investigation of these convergence properties.

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