Numerical solution of boundary value problem for the Bagley-Torvik equation using Hermite collocation method

Abstract

In this paper, the boundary value problem of Bagley-Torvik equation, which has an important place in fractional differential equations, is solved using the Hermite collocation method. Various definitions of fractional derivatives have been given in the literature but for boundary value problem, three different types of the mentioned equation were presented to show the accuracy and efficiency of the method. Obtained results were compared with exact solutions and some earlier results. It was seen that the presented method gave very high accuracy numerical results.