A numerical solution to fractional diffusion equation for force-free case (Q369762)
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scientific article; zbMATH DE number 6209201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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