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

作者:Ta**ozan O; Esen A; Yagmurlu N M*; Ucar Y
来源:Abstract and Applied Analysis, 2013, 2013: 187383.
DOI:10.1155/2013/187383

摘要

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.

  • 出版日期2013