A Numerical Solution to Fractional Diffusion Equation for Force‐Free Case

O. Tasbozan, A. Esen, N. M. Yagmurlu and Y. Ucar

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A collocation finite element method for solving fractional diffusion equation for 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 fractional diffusion equation for force‐free case formulated with Riemann‐Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.

Date: 2013
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https://doi.org/10.1155/2013/187383

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:187383

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