A Numerical Method for Calculating Fractional Derivative

Jun Huang; Yong Jun Li; Fan Huang

doi:10.4028/www.scientific.net/AMM.775.426

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 775A Numerical Method for Calculating Fractional...

A Numerical Method for Calculating Fractional Derivative

Abstract:

A numerical method is proposed for calculating the fractional order derivative and successfully resolving the integrand singularity problem based on Zhang-Shimizu algorithm. And then a method is developed to calculate the twice nonlinear fractional derivative, numerical examples demonstrate the numerical method with high precision and good stability.

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Periodical:

Applied Mechanics and Materials (Volume 775)

Pages:

426-430

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.775.426

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Online since:

July 2015

Authors:

Jun Huang, Yong Jun Li*, Fan Huang

Keywords:

Fractional Derivative, Numerical Examples, Numerical Method, Singularity

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References

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