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A numerical solution to fractional diffusion equation for force-free case - MaRDI portal

A numerical solution to fractional diffusion equation for force-free case (Q369762)

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scientific article; zbMATH DE number 6209201
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A numerical solution to fractional diffusion equation for force-free case
scientific article; zbMATH DE number 6209201

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    A numerical solution to fractional diffusion equation for force-free case (English)
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    19 September 2013
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    Summary: A collocation finite element method for solving fractional diffusion equations for the force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve the fractional diffusion equation for the force-free case formulated with the Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between the exact analytical solution and a numerical one is made.
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    collocation finite element method
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    fractional diffusion equation
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    force-free case
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    cubic B-spline functions
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    Riemann-Liouville operator
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    numerical examples
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