A Meshless Method for Numerical Solution of Fractional Differential Equations

Document Type: Research articles

Authors

1 Department of Applied Mathematics, Iran University Science and Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran.

2 Department of Applied Mathematics, Iran University Science and Technology,P.O.Box,16844-13114,Narmak,Tehran,Iran

Abstract

In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered.
We approximate the exact solution by use of Radial Basis Function(RBF) collocation method.
This techniqueplays an important role to reduce a fractional dierential equation to a system of equations.
The numerical results demonstrate the accuracy and ability of this method.

Keywords