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.
Ucar, Yusuf; Murat Yagmurlu, Nuri; Tasbozan, Orkun; and Esen, Alaattin
"Numerical Solution of Some Fractional Partial Differential Equations using Collocation Finite Element Method,"
Progress in Fractional Differentiation & Applications: Vol. 1
, Article 2.
Available at: https://dc.naturalspublishing.com/pfda/vol1/iss3/2