Convergence of waveform relaxation methods for neutral delay differential equations

Wang, Wansheng; Li, Shoufu

doi:10.1016/j.mcm.2008.05.012

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Cited by 6 publications

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“…The main properties of the method are flexibility and good parallelism, which is used to solve differential equations [20,21], fractional differential equations [22,23], delay differential equations [24,25], and differential-algebraic equations [26][27][28]. The waveform relaxation method based on multisplitting is proposed to improve parallelism [29,30].…”

Section: Introductionmentioning

confidence: 99%

Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations

Liu¹,

Fu²,

Li³

2017

Discrete Dynamics in Nature and Society

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Fractional order delay differential-algebraic equations have the characteristics of time lag and memory and constraint limit. These yield some difficulties in the theoretical analysis and numerical computation. In this paper, we are devoted to solving them by the waveform relaxation method. The corresponding convergence results are obtained, and some numerical examples show the efficiency of the method.

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