Annals of Mathematical Sciences and Applications
Volume 8 (2023)
Numerical solution of boundary value problem for the Bagley–Torvik equation using Hermite collocation method
Pages: 157 – 173
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.
Hermite polynomials, collocation method, Bagley–Torvik equation, boundary value problem
2010 Mathematics Subject Classification
Primary 33C45, 65L60. Secondary 34A08.
Received 7 December 2022
Accepted 20 February 2023
Published 30 March 2023