The Coupling of RBF and FDM for Solving Higher Order Fractional Partial Differential Equations

Zakieh Avazzadeh; Wen Chen; Vahid Reza Hosseini

doi:10.4028/www.scientific.net/AMM.598.409

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 598The Coupling of RBF and FDM for Solving Higher...

The Coupling of RBF and FDM for Solving Higher Order Fractional Partial Differential Equations

Abstract:

In this work, we describe the radial basis functions for solving the time fractional partial differential equations defined by Caputo sense. These problems can be discretized in the time direction based on finite difference scheme and is continuously approximated by using the radial basis functions in the space direction which achieves the semi-discrete solution. Numerical results accuracy the efficiency of the presented method.

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Periodical:

Applied Mechanics and Materials (Volume 598)

Pages:

409-413

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.598.409

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Online since:

July 2014

Authors:

Zakieh Avazzadeh*, Wen Chen, Vahid Reza Hosseini

Keywords:

Finite Difference Scheme, Fractional Derivative, Fractional Partial Differential Equation, Radial Basis Functions

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References

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