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, 1-6

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:187383

DOI: 10.1155/2013/187383

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