Convergence Analysis of a High Order Schema for the Ordinary Fractional Diffusion Equation

Jun Ying Cao; Zi Qiang Wang

doi:10.4028/www.scientific.net/AMM.602-605.3088

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 602-605Convergence Analysis of a High Order Schema for...

Convergence Analysis of a High Order Schema for the Ordinary Fractional Diffusion Equation

Abstract:

The block-by-block method extended by Kumar and Agrawal to fractional differential equations. Cao et al. proposed a high order schema which is based on an improved block-by-block approach, which consists in finding 4 unknowns simultaneously at each step block through solving a 4 × 4 system. We rigorously analytically prove that this method is convergent with order for , and order 6 for .

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Periodical:

Applied Mechanics and Materials (Volumes 602-605)

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3088-3091

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.602-605.3088

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Online since:

August 2014

Authors:

Jun Ying Cao*, Zi Qiang Wang

Keywords:

Convergence Analysis, Fractional Differential Equation, High Order Schema

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