Numerical solution of some fractional partial differential equations using collocation finite element method
[ N/A ]
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Natural Sciences Publishing
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process, we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts complex problems into those requiring the solution of algebraic ones, which is obviously more easy for computational processing. The obtained approximate values show the accuracy and suitability of the present scheme for applying a wide range of fractional partial differential equations. Finally, the error norms L2 and L? are computed and found to be sufficiently small. © 2015 NSP.
Description
Keywords
Collocation method, Cubic B-spline, Finite element method, Fractional differential equation
Journal or Series
Progress in Fractional Differentiation and Applications
WoS Q Value
Scopus Q Value
Q2
Volume
1
Issue
3
