Title :
On a numerical solution for fractional differential equation within B-spline operational matrix
Author :
Jafari, Hossein ; Tajadodi, Haleh ; Baleanu, Dumitru
Author_Institution :
Dept. of Math., Univ. of Mazandaran, Babolsar, Iran
Abstract :
In our manuscript we suggest an approach to obtain the solutions of the fractional differential equations(FDEs). We found the operational matrix within the linear B-spline functions. In this way the investigated equations are turned into a set of algebraic equations. We provide examples to illustrate both accuracy and simplicity of the suggested approach.
Keywords :
differential equations; matrix algebra; splines (mathematics); B-spline operational matrix; FDE; algebraic equation; fractional differential equation; linear B-spline function; numerical solution; Approximation methods; Educational institutions; Equations; Mathematical model; Splines (mathematics); Vectors;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967392