Mathematics – Numerical Analysis
Scientific paper
2006-07-05
Journal of Theoretical and Applied Mechanics 44, 2, pp. 393-403, Warsaw 2006
Mathematics
Numerical Analysis
11 pages, 4 figures
Scientific paper
In this paper, we present a numerical solution to an ordinary differential equation of a fractional order in one-dimensional space. The solution to this equation can describe a steady state of the process of anomalous diffusion. The process arises from interactions within complex and non-homogeneous background. We present a numerical method which is based on the finite differences method. We consider a boundary value problem (Dirichlet conditions) for an equation with the Riesz-Feller fractional derivative. In the final part of this paper, same simulation results are shown. We present an example of non-linear temperature profiles in nanotubes which can be approximated by a solution to the fractional differential equation.
Ciesielski Mariusz
Leszczynski Jacek
No associations
LandOfFree
Numerical solutions to boundary value problem for anomalous diffusion equation with Riesz-Feller fractional operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical solutions to boundary value problem for anomalous diffusion equation with Riesz-Feller fractional operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical solutions to boundary value problem for anomalous diffusion equation with Riesz-Feller fractional operator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-450792